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Finding the Fourth Proportional to 966.24, 1,447.74 and 555.84

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Solution

The fourth proportional to 966.24, 1,447.74 and 555.84 is: 832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.24 : 1,447.74 = 555.84 : x
  2. Step 2: Convert to fraction form
    966.24/1,447.74 = 555.84/x
  3. Step 3: Cross multiply
    966.24x = 1,447.74 × 555.84
  4. Step 4: Simplify right side
    966.24x = 804,711.80
  5. Step 5: Solve for x
    x = 804,711.80/966.24
  6. Step 6: Final answer
    x = 832.83

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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.