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Finding the Fourth Proportional to 961.29, 1,444.32 and 614.77

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Solution

The fourth proportional to 961.29, 1,444.32 and 614.77 is: 923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.29 : 1,444.32 = 614.77 : x
  2. Step 2: Convert to fraction form
    961.29/1,444.32 = 614.77/x
  3. Step 3: Cross multiply
    961.29x = 1,444.32 × 614.77
  4. Step 4: Simplify right side
    961.29x = 887,921.00
  5. Step 5: Solve for x
    x = 887,921.00/961.29
  6. Step 6: Final answer
    x = 923.68

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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.