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Finding the Fourth Proportional to 767.60, 1,059.32 and 457.04

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Solution

The fourth proportional to 767.60, 1,059.32 and 457.04 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.60 : 1,059.32 = 457.04 : x
  2. Step 2: Convert to fraction form
    767.60/1,059.32 = 457.04/x
  3. Step 3: Cross multiply
    767.60x = 1,059.32 × 457.04
  4. Step 4: Simplify right side
    767.60x = 484,151.61
  5. Step 5: Solve for x
    x = 484,151.61/767.60
  6. Step 6: Final answer
    x = 630.73

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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.