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Finding the Fourth Proportional to 1,327.42, 1,989.92 and 461.13

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Solution

The fourth proportional to 1,327.42, 1,989.92 and 461.13 is: 691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.42 : 1,989.92 = 461.13 : x
  2. Step 2: Convert to fraction form
    1,327.42/1,989.92 = 461.13/x
  3. Step 3: Cross multiply
    1,327.42x = 1,989.92 × 461.13
  4. Step 4: Simplify right side
    1,327.42x = 917,599.55
  5. Step 5: Solve for x
    x = 917,599.55/1,327.42
  6. Step 6: Final answer
    x = 691.27

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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.