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Finding the Fourth Proportional to 689.95, 951.87 and 410.13

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Solution

The fourth proportional to 689.95, 951.87 and 410.13 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 951.87 = 410.13 : x
  2. Step 2: Convert to fraction form
    689.95/951.87 = 410.13/x
  3. Step 3: Cross multiply
    689.95x = 951.87 × 410.13
  4. Step 4: Simplify right side
    689.95x = 390,389.67
  5. Step 5: Solve for x
    x = 390,389.67/689.95
  6. Step 6: Final answer
    x = 565.82

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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.