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Finding the Fourth Proportional to 763.29, 1,058.16 and 721.72

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Solution

The fourth proportional to 763.29, 1,058.16 and 721.72 is: 1,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.29 : 1,058.16 = 721.72 : x
  2. Step 2: Convert to fraction form
    763.29/1,058.16 = 721.72/x
  3. Step 3: Cross multiply
    763.29x = 1,058.16 × 721.72
  4. Step 4: Simplify right side
    763.29x = 763,689.94
  5. Step 5: Solve for x
    x = 763,689.94/763.29
  6. Step 6: Final answer
    x = 1,000.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.