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Finding the Fourth Proportional to 721.19, 994.73 and 500.19

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Solution

The fourth proportional to 721.19, 994.73 and 500.19 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.19 : 994.73 = 500.19 : x
  2. Step 2: Convert to fraction form
    721.19/994.73 = 500.19/x
  3. Step 3: Cross multiply
    721.19x = 994.73 × 500.19
  4. Step 4: Simplify right side
    721.19x = 497,551.50
  5. Step 5: Solve for x
    x = 497,551.50/721.19
  6. Step 6: Final answer
    x = 689.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.