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Finding the Fourth Proportional to 1,147.72, 1,722.12 and 498.64

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Solution

The fourth proportional to 1,147.72, 1,722.12 and 498.64 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.72 : 1,722.12 = 498.64 : x
  2. Step 2: Convert to fraction form
    1,147.72/1,722.12 = 498.64/x
  3. Step 3: Cross multiply
    1,147.72x = 1,722.12 × 498.64
  4. Step 4: Simplify right side
    1,147.72x = 858,717.92
  5. Step 5: Solve for x
    x = 858,717.92/1,147.72
  6. Step 6: Final answer
    x = 748.19

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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.