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Finding the Fourth Proportional to 1,147.83, 1,721.73 and 498.42

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Solution

The fourth proportional to 1,147.83, 1,721.73 and 498.42 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.83 : 1,721.73 = 498.42 : x
  2. Step 2: Convert to fraction form
    1,147.83/1,721.73 = 498.42/x
  3. Step 3: Cross multiply
    1,147.83x = 1,721.73 × 498.42
  4. Step 4: Simplify right side
    1,147.83x = 858,144.67
  5. Step 5: Solve for x
    x = 858,144.67/1,147.83
  6. Step 6: Final answer
    x = 747.62

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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.