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Finding the Fourth Proportional to 966.09, 1,448.46 and 478.83

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Solution

The fourth proportional to 966.09, 1,448.46 and 478.83 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.09 : 1,448.46 = 478.83 : x
  2. Step 2: Convert to fraction form
    966.09/1,448.46 = 478.83/x
  3. Step 3: Cross multiply
    966.09x = 1,448.46 × 478.83
  4. Step 4: Simplify right side
    966.09x = 693,566.10
  5. Step 5: Solve for x
    x = 693,566.10/966.09
  6. Step 6: Final answer
    x = 717.91

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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.