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Finding the Fourth Proportional to 963.75, 1,447.46 and 553.69

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Solution

The fourth proportional to 963.75, 1,447.46 and 553.69 is: 831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.75 : 1,447.46 = 553.69 : x
  2. Step 2: Convert to fraction form
    963.75/1,447.46 = 553.69/x
  3. Step 3: Cross multiply
    963.75x = 1,447.46 × 553.69
  4. Step 4: Simplify right side
    963.75x = 801,444.13
  5. Step 5: Solve for x
    x = 801,444.13/963.75
  6. Step 6: Final answer
    x = 831.59

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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.