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Finding the Fourth Proportional to 962.91, 1,444.35 and 462.46

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Solution

The fourth proportional to 962.91, 1,444.35 and 462.46 is: 693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.91 : 1,444.35 = 462.46 : x
  2. Step 2: Convert to fraction form
    962.91/1,444.35 = 462.46/x
  3. Step 3: Cross multiply
    962.91x = 1,444.35 × 462.46
  4. Step 4: Simplify right side
    962.91x = 667,954.10
  5. Step 5: Solve for x
    x = 667,954.10/962.91
  6. Step 6: Final answer
    x = 693.68

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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.