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Finding the Fourth Proportional to 1,174.50, 1,752.57 and 1,065.42

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Solution

The fourth proportional to 1,174.50, 1,752.57 and 1,065.42 is: 1,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.50 : 1,752.57 = 1,065.42 : x
  2. Step 2: Convert to fraction form
    1,174.50/1,752.57 = 1,065.42/x
  3. Step 3: Cross multiply
    1,174.50x = 1,752.57 × 1,065.42
  4. Step 4: Simplify right side
    1,174.50x = 1,867,223.13
  5. Step 5: Solve for x
    x = 1,867,223.13/1,174.50
  6. Step 6: Final answer
    x = 1,589.80

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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.