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Finding the Fourth Proportional to 1,432.81, 2,149.22 and 567.12

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Solution

The fourth proportional to 1,432.81, 2,149.22 and 567.12 is: 850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.81 : 2,149.22 = 567.12 : x
  2. Step 2: Convert to fraction form
    1,432.81/2,149.22 = 567.12/x
  3. Step 3: Cross multiply
    1,432.81x = 2,149.22 × 567.12
  4. Step 4: Simplify right side
    1,432.81x = 1,218,867.06
  5. Step 5: Solve for x
    x = 1,218,867.06/1,432.81
  6. Step 6: Final answer
    x = 850.68

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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.