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Finding the Fourth Proportional to 966.91, 1,449.88 and 472.58

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Solution

The fourth proportional to 966.91, 1,449.88 and 472.58 is: 708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.91 : 1,449.88 = 472.58 : x
  2. Step 2: Convert to fraction form
    966.91/1,449.88 = 472.58/x
  3. Step 3: Cross multiply
    966.91x = 1,449.88 × 472.58
  4. Step 4: Simplify right side
    966.91x = 685,188.06
  5. Step 5: Solve for x
    x = 685,188.06/966.91
  6. Step 6: Final answer
    x = 708.63

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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.