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Finding the Fourth Proportional to 962.73, 1,440.45 and 596.61

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Solution

The fourth proportional to 962.73, 1,440.45 and 596.61 is: 892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.73 : 1,440.45 = 596.61 : x
  2. Step 2: Convert to fraction form
    962.73/1,440.45 = 596.61/x
  3. Step 3: Cross multiply
    962.73x = 1,440.45 × 596.61
  4. Step 4: Simplify right side
    962.73x = 859,386.87
  5. Step 5: Solve for x
    x = 859,386.87/962.73
  6. Step 6: Final answer
    x = 892.66

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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.