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Finding the Fourth Proportional to 1,593.90, 2,391.30 and 498.42

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Solution

The fourth proportional to 1,593.90, 2,391.30 and 498.42 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.90 : 2,391.30 = 498.42 : x
  2. Step 2: Convert to fraction form
    1,593.90/2,391.30 = 498.42/x
  3. Step 3: Cross multiply
    1,593.90x = 2,391.30 × 498.42
  4. Step 4: Simplify right side
    1,593.90x = 1,191,871.75
  5. Step 5: Solve for x
    x = 1,191,871.75/1,593.90
  6. Step 6: Final answer
    x = 747.77

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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.