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Finding the Fourth Proportional to 689.87, 951.99 and 395.13

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Solution

The fourth proportional to 689.87, 951.99 and 395.13 is: 545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 951.99 = 395.13 : x
  2. Step 2: Convert to fraction form
    689.87/951.99 = 395.13/x
  3. Step 3: Cross multiply
    689.87x = 951.99 × 395.13
  4. Step 4: Simplify right side
    689.87x = 376,159.81
  5. Step 5: Solve for x
    x = 376,159.81/689.87
  6. Step 6: Final answer
    x = 545.26

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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.