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Finding the Fourth Proportional to 961.67, 1,442.28 and 414.11

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Solution

The fourth proportional to 961.67, 1,442.28 and 414.11 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.67 : 1,442.28 = 414.11 : x
  2. Step 2: Convert to fraction form
    961.67/1,442.28 = 414.11/x
  3. Step 3: Cross multiply
    961.67x = 1,442.28 × 414.11
  4. Step 4: Simplify right side
    961.67x = 597,262.57
  5. Step 5: Solve for x
    x = 597,262.57/961.67
  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.