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Finding the Fourth Proportional to 830.04, 1,145.64 and 480.78

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Solution

The fourth proportional to 830.04, 1,145.64 and 480.78 is: 663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,145.64 = 480.78 : x
  2. Step 2: Convert to fraction form
    830.04/1,145.64 = 480.78/x
  3. Step 3: Cross multiply
    830.04x = 1,145.64 × 480.78
  4. Step 4: Simplify right side
    830.04x = 550,800.80
  5. Step 5: Solve for x
    x = 550,800.80/830.04
  6. Step 6: Final answer
    x = 663.58

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Half scale
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Double scale
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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.