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Finding the Fourth Proportional to 1,145.79, 1,721.42 and 735.73

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Solution

The fourth proportional to 1,145.79, 1,721.42 and 735.73 is: 1,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.79 : 1,721.42 = 735.73 : x
  2. Step 2: Convert to fraction form
    1,145.79/1,721.42 = 735.73/x
  3. Step 3: Cross multiply
    1,145.79x = 1,721.42 × 735.73
  4. Step 4: Simplify right side
    1,145.79x = 1,266,500.34
  5. Step 5: Solve for x
    x = 1,266,500.34/1,145.79
  6. Step 6: Final answer
    x = 1,105.35

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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.