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Finding the Fourth Proportional to 1,101.80, 1,652.76 and 815.12

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Solution

The fourth proportional to 1,101.80, 1,652.76 and 815.12 is: 1,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.80 : 1,652.76 = 815.12 : x
  2. Step 2: Convert to fraction form
    1,101.80/1,652.76 = 815.12/x
  3. Step 3: Cross multiply
    1,101.80x = 1,652.76 × 815.12
  4. Step 4: Simplify right side
    1,101.80x = 1,347,197.73
  5. Step 5: Solve for x
    x = 1,347,197.73/1,101.80
  6. Step 6: Final answer
    x = 1,222.72

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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.