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Finding the Fourth Proportional to 740.92, 1,022.88 and 517.18

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Solution

The fourth proportional to 740.92, 1,022.88 and 517.18 is: 713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,022.88 = 517.18 : x
  2. Step 2: Convert to fraction form
    740.92/1,022.88 = 517.18/x
  3. Step 3: Cross multiply
    740.92x = 1,022.88 × 517.18
  4. Step 4: Simplify right side
    740.92x = 529,013.08
  5. Step 5: Solve for x
    x = 529,013.08/740.92
  6. Step 6: Final answer
    x = 713.99

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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.