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Finding the Fourth Proportional to 1,324.52, 1,987.56 and 747.80

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Solution

The fourth proportional to 1,324.52, 1,987.56 and 747.80 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.52 : 1,987.56 = 747.80 : x
  2. Step 2: Convert to fraction form
    1,324.52/1,987.56 = 747.80/x
  3. Step 3: Cross multiply
    1,324.52x = 1,987.56 × 747.80
  4. Step 4: Simplify right side
    1,324.52x = 1,486,297.37
  5. Step 5: Solve for x
    x = 1,486,297.37/1,324.52
  6. Step 6: Final answer
    x = 1,122.14

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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.