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Finding the Fourth Proportional to 1,432.84, 2,149.76 and 566.68

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Solution

The fourth proportional to 1,432.84, 2,149.76 and 566.68 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.84 : 2,149.76 = 566.68 : x
  2. Step 2: Convert to fraction form
    1,432.84/2,149.76 = 566.68/x
  3. Step 3: Cross multiply
    1,432.84x = 2,149.76 × 566.68
  4. Step 4: Simplify right side
    1,432.84x = 1,218,226.00
  5. Step 5: Solve for x
    x = 1,218,226.00/1,432.84
  6. Step 6: Final answer
    x = 850.22

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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.