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Finding the Fourth Proportional to 767.52, 1,059.28 and 457.04

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Solution

The fourth proportional to 767.52, 1,059.28 and 457.04 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.52 : 1,059.28 = 457.04 : x
  2. Step 2: Convert to fraction form
    767.52/1,059.28 = 457.04/x
  3. Step 3: Cross multiply
    767.52x = 1,059.28 × 457.04
  4. Step 4: Simplify right side
    767.52x = 484,133.33
  5. Step 5: Solve for x
    x = 484,133.33/767.52
  6. Step 6: Final answer
    x = 630.78

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