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Finding the Fourth Proportional to 961.60, 1,444.32 and 637.76

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Solution

The fourth proportional to 961.60, 1,444.32 and 637.76 is: 957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.60 : 1,444.32 = 637.76 : x
  2. Step 2: Convert to fraction form
    961.60/1,444.32 = 637.76/x
  3. Step 3: Cross multiply
    961.60x = 1,444.32 × 637.76
  4. Step 4: Simplify right side
    961.60x = 921,129.52
  5. Step 5: Solve for x
    x = 921,129.52/961.60
  6. Step 6: Final answer
    x = 957.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.