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Finding the Fourth Proportional to 962.40, 1,442.20 and 474.88

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Solution

The fourth proportional to 962.40, 1,442.20 and 474.88 is: 711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.40 : 1,442.20 = 474.88 : x
  2. Step 2: Convert to fraction form
    962.40/1,442.20 = 474.88/x
  3. Step 3: Cross multiply
    962.40x = 1,442.20 × 474.88
  4. Step 4: Simplify right side
    962.40x = 684,871.94
  5. Step 5: Solve for x
    x = 684,871.94/962.40
  6. Step 6: Final answer
    x = 711.63

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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.