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Finding the Fourth Proportional to 761.13, 1,049.22 and 466.17

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Solution

The fourth proportional to 761.13, 1,049.22 and 466.17 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.13 : 1,049.22 = 466.17 : x
  2. Step 2: Convert to fraction form
    761.13/1,049.22 = 466.17/x
  3. Step 3: Cross multiply
    761.13x = 1,049.22 × 466.17
  4. Step 4: Simplify right side
    761.13x = 489,114.89
  5. Step 5: Solve for x
    x = 489,114.89/761.13
  6. Step 6: Final answer
    x = 642.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.