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Finding the Fourth Proportional to 717.72, 1,074.96 and 501.48

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Solution

The fourth proportional to 717.72, 1,074.96 and 501.48 is: 751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.72 : 1,074.96 = 501.48 : x
  2. Step 2: Convert to fraction form
    717.72/1,074.96 = 501.48/x
  3. Step 3: Cross multiply
    717.72x = 1,074.96 × 501.48
  4. Step 4: Simplify right side
    717.72x = 539,070.94
  5. Step 5: Solve for x
    x = 539,070.94/717.72
  6. Step 6: Final answer
    x = 751.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.