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Finding the Fourth Proportional to 1,227.52, 1,837.78 and 815.85

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Solution

The fourth proportional to 1,227.52, 1,837.78 and 815.85 is: 1,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.52 : 1,837.78 = 815.85 : x
  2. Step 2: Convert to fraction form
    1,227.52/1,837.78 = 815.85/x
  3. Step 3: Cross multiply
    1,227.52x = 1,837.78 × 815.85
  4. Step 4: Simplify right side
    1,227.52x = 1,499,352.81
  5. Step 5: Solve for x
    x = 1,499,352.81/1,227.52
  6. Step 6: Final answer
    x = 1,221.45

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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.