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Finding the Fourth Proportional to 1,174.38, 1,600.44 and 1,170.06

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Solution

The fourth proportional to 1,174.38, 1,600.44 and 1,170.06 is: 1,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.38 : 1,600.44 = 1,170.06 : x
  2. Step 2: Convert to fraction form
    1,174.38/1,600.44 = 1,170.06/x
  3. Step 3: Cross multiply
    1,174.38x = 1,600.44 × 1,170.06
  4. Step 4: Simplify right side
    1,174.38x = 1,872,610.83
  5. Step 5: Solve for x
    x = 1,872,610.83/1,174.38
  6. Step 6: Final answer
    x = 1,594.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.