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Finding the Fourth Proportional to 1,327.48, 1,989.39 and 1,002.49

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Solution

The fourth proportional to 1,327.48, 1,989.39 and 1,002.49 is: 1,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.48 : 1,989.39 = 1,002.49 : x
  2. Step 2: Convert to fraction form
    1,327.48/1,989.39 = 1,002.49/x
  3. Step 3: Cross multiply
    1,327.48x = 1,989.39 × 1,002.49
  4. Step 4: Simplify right side
    1,327.48x = 1,994,343.58
  5. Step 5: Solve for x
    x = 1,994,343.58/1,327.48
  6. Step 6: Final answer
    x = 1,502.35

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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.