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Finding the Fourth Proportional to 830.05, 1,145.45 and 480.77

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Solution

The fourth proportional to 830.05, 1,145.45 and 480.77 is: 663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.05 : 1,145.45 = 480.77 : x
  2. Step 2: Convert to fraction form
    830.05/1,145.45 = 480.77/x
  3. Step 3: Cross multiply
    830.05x = 1,145.45 × 480.77
  4. Step 4: Simplify right side
    830.05x = 550,693.47
  5. Step 5: Solve for x
    x = 550,693.47/830.05
  6. Step 6: Final answer
    x = 663.45

Related Problems

Find fourth proportional to 415.02, 572.73 and 240.38
Half scale
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Double scale
Find fourth proportional to 831.05, 1,146.83 and 481.77
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.