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Finding the Fourth Proportional to 1,169.85, 1,753.23 and 438.69

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Solution

The fourth proportional to 1,169.85, 1,753.23 and 438.69 is: 657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.85 : 1,753.23 = 438.69 : x
  2. Step 2: Convert to fraction form
    1,169.85/1,753.23 = 438.69/x
  3. Step 3: Cross multiply
    1,169.85x = 1,753.23 × 438.69
  4. Step 4: Simplify right side
    1,169.85x = 769,124.47
  5. Step 5: Solve for x
    x = 769,124.47/1,169.85
  6. Step 6: Final answer
    x = 657.46

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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.