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Finding the Fourth Proportional to 830.75, 1,146.46 and 457.76

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Solution

The fourth proportional to 830.75, 1,146.46 and 457.76 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.75 : 1,146.46 = 457.76 : x
  2. Step 2: Convert to fraction form
    830.75/1,146.46 = 457.76/x
  3. Step 3: Cross multiply
    830.75x = 1,146.46 × 457.76
  4. Step 4: Simplify right side
    830.75x = 524,803.53
  5. Step 5: Solve for x
    x = 524,803.53/830.75
  6. Step 6: Final answer
    x = 631.72

Related Problems

Find fourth proportional to 415.38, 573.23 and 228.88
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.