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Finding the Fourth Proportional to 1,086.38, 1,627.67 and 565.58

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Solution

The fourth proportional to 1,086.38, 1,627.67 and 565.58 is: 847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.38 : 1,627.67 = 565.58 : x
  2. Step 2: Convert to fraction form
    1,086.38/1,627.67 = 565.58/x
  3. Step 3: Cross multiply
    1,086.38x = 1,627.67 × 565.58
  4. Step 4: Simplify right side
    1,086.38x = 920,569.46
  5. Step 5: Solve for x
    x = 920,569.46/1,086.38
  6. Step 6: Final answer
    x = 847.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.