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Finding the Fourth Proportional to 1,143.54, 1,715.31 and 732.87

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Solution

The fourth proportional to 1,143.54, 1,715.31 and 732.87 is: 1,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.54 : 1,715.31 = 732.87 : x
  2. Step 2: Convert to fraction form
    1,143.54/1,715.31 = 732.87/x
  3. Step 3: Cross multiply
    1,143.54x = 1,715.31 × 732.87
  4. Step 4: Simplify right side
    1,143.54x = 1,257,099.24
  5. Step 5: Solve for x
    x = 1,257,099.24/1,143.54
  6. Step 6: Final answer
    x = 1,099.31

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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.