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Finding the Fourth Proportional to 802.68, 1,200.92 and 710.34

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Solution

The fourth proportional to 802.68, 1,200.92 and 710.34 is: 1,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.68 : 1,200.92 = 710.34 : x
  2. Step 2: Convert to fraction form
    802.68/1,200.92 = 710.34/x
  3. Step 3: Cross multiply
    802.68x = 1,200.92 × 710.34
  4. Step 4: Simplify right side
    802.68x = 853,057.96
  5. Step 5: Solve for x
    x = 853,057.96/802.68
  6. Step 6: Final answer
    x = 1,062.76

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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.