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Finding the Fourth Proportional to 961.11, 1,440.72 and 412.74

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Solution

The fourth proportional to 961.11, 1,440.72 and 412.74 is: 618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.11 : 1,440.72 = 412.74 : x
  2. Step 2: Convert to fraction form
    961.11/1,440.72 = 412.74/x
  3. Step 3: Cross multiply
    961.11x = 1,440.72 × 412.74
  4. Step 4: Simplify right side
    961.11x = 594,642.77
  5. Step 5: Solve for x
    x = 594,642.77/961.11
  6. Step 6: Final answer
    x = 618.70

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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.