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Finding the Fourth Proportional to 767.34, 1,059.10 and 472.92

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Solution

The fourth proportional to 767.34, 1,059.10 and 472.92 is: 652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,059.10 = 472.92 : x
  2. Step 2: Convert to fraction form
    767.34/1,059.10 = 472.92/x
  3. Step 3: Cross multiply
    767.34x = 1,059.10 × 472.92
  4. Step 4: Simplify right side
    767.34x = 500,869.57
  5. Step 5: Solve for x
    x = 500,869.57/767.34
  6. Step 6: Final answer
    x = 652.73

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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.