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Finding the Fourth Proportional to 966.48, 1,447.86 and 478.92

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Solution

The fourth proportional to 966.48, 1,447.86 and 478.92 is: 717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.48 : 1,447.86 = 478.92 : x
  2. Step 2: Convert to fraction form
    966.48/1,447.86 = 478.92/x
  3. Step 3: Cross multiply
    966.48x = 1,447.86 × 478.92
  4. Step 4: Simplify right side
    966.48x = 693,409.11
  5. Step 5: Solve for x
    x = 693,409.11/966.48
  6. Step 6: Final answer
    x = 717.46

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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.