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Finding the Fourth Proportional to 1,471.43, 2,207.15 and 498.22

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Solution

The fourth proportional to 1,471.43, 2,207.15 and 498.22 is: 747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.43 : 2,207.15 = 498.22 : x
  2. Step 2: Convert to fraction form
    1,471.43/2,207.15 = 498.22/x
  3. Step 3: Cross multiply
    1,471.43x = 2,207.15 × 498.22
  4. Step 4: Simplify right side
    1,471.43x = 1,099,638.26
  5. Step 5: Solve for x
    x = 1,099,638.26/1,471.43
  6. Step 6: Final answer
    x = 747.32

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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.