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Finding the Fourth Proportional to 1,113.11, 1,663.50 and 1,049.09

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Solution

The fourth proportional to 1,113.11, 1,663.50 and 1,049.09 is: 1,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.11 : 1,663.50 = 1,049.09 : x
  2. Step 2: Convert to fraction form
    1,113.11/1,663.50 = 1,049.09/x
  3. Step 3: Cross multiply
    1,113.11x = 1,663.50 × 1,049.09
  4. Step 4: Simplify right side
    1,113.11x = 1,745,155.97
  5. Step 5: Solve for x
    x = 1,745,155.97/1,113.11
  6. Step 6: Final answer
    x = 1,567.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.