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Finding the Fourth Proportional to 1,422.18, 2,132.55 and 652.74

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Solution

The fourth proportional to 1,422.18, 2,132.55 and 652.74 is: 978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.18 : 2,132.55 = 652.74 : x
  2. Step 2: Convert to fraction form
    1,422.18/2,132.55 = 652.74/x
  3. Step 3: Cross multiply
    1,422.18x = 2,132.55 × 652.74
  4. Step 4: Simplify right side
    1,422.18x = 1,392,000.69
  5. Step 5: Solve for x
    x = 1,392,000.69/1,422.18
  6. Step 6: Final answer
    x = 978.78

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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.