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Finding the Fourth Proportional to 721.20, 994.71 and 511.18

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Solution

The fourth proportional to 721.20, 994.71 and 511.18 is: 705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.20 : 994.71 = 511.18 : x
  2. Step 2: Convert to fraction form
    721.20/994.71 = 511.18/x
  3. Step 3: Cross multiply
    721.20x = 994.71 × 511.18
  4. Step 4: Simplify right side
    721.20x = 508,475.29
  5. Step 5: Solve for x
    x = 508,475.29/721.20
  6. Step 6: Final answer
    x = 705.04

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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.