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Finding the Fourth Proportional to 1,169.47, 1,755.46 and 1,040.30

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Solution

The fourth proportional to 1,169.47, 1,755.46 and 1,040.30 is: 1,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.47 : 1,755.46 = 1,040.30 : x
  2. Step 2: Convert to fraction form
    1,169.47/1,755.46 = 1,040.30/x
  3. Step 3: Cross multiply
    1,169.47x = 1,755.46 × 1,040.30
  4. Step 4: Simplify right side
    1,169.47x = 1,826,204.14
  5. Step 5: Solve for x
    x = 1,826,204.14/1,169.47
  6. Step 6: Final answer
    x = 1,561.56

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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.