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Finding the Fourth Proportional to 1,324.52, 1,985.42 and 593.90

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Solution

The fourth proportional to 1,324.52, 1,985.42 and 593.90 is: 890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.52 : 1,985.42 = 593.90 : x
  2. Step 2: Convert to fraction form
    1,324.52/1,985.42 = 593.90/x
  3. Step 3: Cross multiply
    1,324.52x = 1,985.42 × 593.90
  4. Step 4: Simplify right side
    1,324.52x = 1,179,132.50
  5. Step 5: Solve for x
    x = 1,179,132.50/1,324.52
  6. Step 6: Final answer
    x = 890.24

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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.