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Finding the Fourth Proportional to 962.40, 1,444.19 and 742.17

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Solution

The fourth proportional to 962.40, 1,444.19 and 742.17 is: 1,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.40 : 1,444.19 = 742.17 : x
  2. Step 2: Convert to fraction form
    962.40/1,444.19 = 742.17/x
  3. Step 3: Cross multiply
    962.40x = 1,444.19 × 742.17
  4. Step 4: Simplify right side
    962.40x = 1,071,830.78
  5. Step 5: Solve for x
    x = 1,071,830.78/962.40
  6. Step 6: Final answer
    x = 1,113.71

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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.