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Finding the Fourth Proportional to 961.29, 1,442.39 and 498.82

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Solution

The fourth proportional to 961.29, 1,442.39 and 498.82 is: 748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.29 : 1,442.39 = 498.82 : x
  2. Step 2: Convert to fraction form
    961.29/1,442.39 = 498.82/x
  3. Step 3: Cross multiply
    961.29x = 1,442.39 × 498.82
  4. Step 4: Simplify right side
    961.29x = 719,492.98
  5. Step 5: Solve for x
    x = 719,492.98/961.29
  6. Step 6: Final answer
    x = 748.47

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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.