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Finding the Fourth Proportional to 1,147.46, 1,720.82 and 497.66

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Solution

The fourth proportional to 1,147.46, 1,720.82 and 497.66 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.46 : 1,720.82 = 497.66 : x
  2. Step 2: Convert to fraction form
    1,147.46/1,720.82 = 497.66/x
  3. Step 3: Cross multiply
    1,147.46x = 1,720.82 × 497.66
  4. Step 4: Simplify right side
    1,147.46x = 856,375.92
  5. Step 5: Solve for x
    x = 856,375.92/1,147.46
  6. Step 6: Final answer
    x = 746.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.