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Finding the Fourth Proportional to 1,593.87, 2,390.87 and 498.27

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Solution

The fourth proportional to 1,593.87, 2,390.87 and 498.27 is: 747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.87 : 2,390.87 = 498.27 : x
  2. Step 2: Convert to fraction form
    1,593.87/2,390.87 = 498.27/x
  3. Step 3: Cross multiply
    1,593.87x = 2,390.87 × 498.27
  4. Step 4: Simplify right side
    1,593.87x = 1,191,298.79
  5. Step 5: Solve for x
    x = 1,191,298.79/1,593.87
  6. Step 6: Final answer
    x = 747.43

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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.