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Finding the Fourth Proportional to 689.50, 951.87 and 565.48

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Solution

The fourth proportional to 689.50, 951.87 and 565.48 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.50 : 951.87 = 565.48 : x
  2. Step 2: Convert to fraction form
    689.50/951.87 = 565.48/x
  3. Step 3: Cross multiply
    689.50x = 951.87 × 565.48
  4. Step 4: Simplify right side
    689.50x = 538,263.45
  5. Step 5: Solve for x
    x = 538,263.45/689.50
  6. Step 6: Final answer
    x = 780.66

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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.