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Finding the Fourth Proportional to 1,254.43, 1,881.90 and 432.74

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Solution

The fourth proportional to 1,254.43, 1,881.90 and 432.74 is: 649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.43 : 1,881.90 = 432.74 : x
  2. Step 2: Convert to fraction form
    1,254.43/1,881.90 = 432.74/x
  3. Step 3: Cross multiply
    1,254.43x = 1,881.90 × 432.74
  4. Step 4: Simplify right side
    1,254.43x = 814,373.41
  5. Step 5: Solve for x
    x = 814,373.41/1,254.43
  6. Step 6: Final answer
    x = 649.20

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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.