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Finding the Fourth Proportional to 1,101.91, 1,652.43 and 398.92

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Solution

The fourth proportional to 1,101.91, 1,652.43 and 398.92 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.91 : 1,652.43 = 398.92 : x
  2. Step 2: Convert to fraction form
    1,101.91/1,652.43 = 398.92/x
  3. Step 3: Cross multiply
    1,101.91x = 1,652.43 × 398.92
  4. Step 4: Simplify right side
    1,101.91x = 659,179.11
  5. Step 5: Solve for x
    x = 659,179.11/1,101.91
  6. Step 6: Final answer
    x = 598.22

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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.