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Finding the Fourth Proportional to 1,086.29, 1,627.68 and 565.52

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Solution

The fourth proportional to 1,086.29, 1,627.68 and 565.52 is: 847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.29 : 1,627.68 = 565.52 : x
  2. Step 2: Convert to fraction form
    1,086.29/1,627.68 = 565.52/x
  3. Step 3: Cross multiply
    1,086.29x = 1,627.68 × 565.52
  4. Step 4: Simplify right side
    1,086.29x = 920,479.58
  5. Step 5: Solve for x
    x = 920,479.58/1,086.29
  6. Step 6: Final answer
    x = 847.36

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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.