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Finding the Fourth Proportional to 966.88, 1,448.12 and 478.84

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Solution

The fourth proportional to 966.88, 1,448.12 and 478.84 is: 717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.88 : 1,448.12 = 478.84 : x
  2. Step 2: Convert to fraction form
    966.88/1,448.12 = 478.84/x
  3. Step 3: Cross multiply
    966.88x = 1,448.12 × 478.84
  4. Step 4: Simplify right side
    966.88x = 693,417.78
  5. Step 5: Solve for x
    x = 693,417.78/966.88
  6. Step 6: Final answer
    x = 717.17

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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.