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Finding the Fourth Proportional to 962.52, 1,444.31 and 732.83

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Solution

The fourth proportional to 962.52, 1,444.31 and 732.83 is: 1,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.52 : 1,444.31 = 732.83 : x
  2. Step 2: Convert to fraction form
    962.52/1,444.31 = 732.83/x
  3. Step 3: Cross multiply
    962.52x = 1,444.31 × 732.83
  4. Step 4: Simplify right side
    962.52x = 1,058,422.81
  5. Step 5: Solve for x
    x = 1,058,422.81/962.52
  6. Step 6: Final answer
    x = 1,099.64

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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.