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Finding the Fourth Proportional to 962.76, 1,442.90 and 414.40

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Solution

The fourth proportional to 962.76, 1,442.90 and 414.40 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.76 : 1,442.90 = 414.40 : x
  2. Step 2: Convert to fraction form
    962.76/1,442.90 = 414.40/x
  3. Step 3: Cross multiply
    962.76x = 1,442.90 × 414.40
  4. Step 4: Simplify right side
    962.76x = 597,937.76
  5. Step 5: Solve for x
    x = 597,937.76/962.76
  6. Step 6: Final answer
    x = 621.07

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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.