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Finding the Fourth Proportional to 713.16, 1,068.24 and 662.52

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Solution

The fourth proportional to 713.16, 1,068.24 and 662.52 is: 992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 1,068.24 = 662.52 : x
  2. Step 2: Convert to fraction form
    713.16/1,068.24 = 662.52/x
  3. Step 3: Cross multiply
    713.16x = 1,068.24 × 662.52
  4. Step 4: Simplify right side
    713.16x = 707,730.36
  5. Step 5: Solve for x
    x = 707,730.36/713.16
  6. Step 6: Final answer
    x = 992.39

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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.