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Finding the Fourth Proportional to 961.10, 1,442.56 and 474.48

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Solution

The fourth proportional to 961.10, 1,442.56 and 474.48 is: 712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.10 : 1,442.56 = 474.48 : x
  2. Step 2: Convert to fraction form
    961.10/1,442.56 = 474.48/x
  3. Step 3: Cross multiply
    961.10x = 1,442.56 × 474.48
  4. Step 4: Simplify right side
    961.10x = 684,465.87
  5. Step 5: Solve for x
    x = 684,465.87/961.10
  6. Step 6: Final answer
    x = 712.17

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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.