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Finding the Fourth Proportional to 966.80, 1,447.74 and 533.48

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Solution

The fourth proportional to 966.80, 1,447.74 and 533.48 is: 798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.80 : 1,447.74 = 533.48 : x
  2. Step 2: Convert to fraction form
    966.80/1,447.74 = 533.48/x
  3. Step 3: Cross multiply
    966.80x = 1,447.74 × 533.48
  4. Step 4: Simplify right side
    966.80x = 772,340.34
  5. Step 5: Solve for x
    x = 772,340.34/966.80
  6. Step 6: Final answer
    x = 798.86

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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.