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Finding the Fourth Proportional to 962.01, 1,440.18 and 731.84

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Solution

The fourth proportional to 962.01, 1,440.18 and 731.84 is: 1,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.01 : 1,440.18 = 731.84 : x
  2. Step 2: Convert to fraction form
    962.01/1,440.18 = 731.84/x
  3. Step 3: Cross multiply
    962.01x = 1,440.18 × 731.84
  4. Step 4: Simplify right side
    962.01x = 1,053,974.13
  5. Step 5: Solve for x
    x = 1,053,974.13/962.01
  6. Step 6: Final answer
    x = 1,095.60

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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.