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Finding the Fourth Proportional to 1,123.83, 1,686.65 and 815.82

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Solution

The fourth proportional to 1,123.83, 1,686.65 and 815.82 is: 1,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.83 : 1,686.65 = 815.82 : x
  2. Step 2: Convert to fraction form
    1,123.83/1,686.65 = 815.82/x
  3. Step 3: Cross multiply
    1,123.83x = 1,686.65 × 815.82
  4. Step 4: Simplify right side
    1,123.83x = 1,375,998.72
  5. Step 5: Solve for x
    x = 1,375,998.72/1,123.83
  6. Step 6: Final answer
    x = 1,224.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.