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Finding the Fourth Proportional to 1,367.57, 2,050.32 and 489.53

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Solution

The fourth proportional to 1,367.57, 2,050.32 and 489.53 is: 733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.57 : 2,050.32 = 489.53 : x
  2. Step 2: Convert to fraction form
    1,367.57/2,050.32 = 489.53/x
  3. Step 3: Cross multiply
    1,367.57x = 2,050.32 × 489.53
  4. Step 4: Simplify right side
    1,367.57x = 1,003,693.15
  5. Step 5: Solve for x
    x = 1,003,693.15/1,367.57
  6. Step 6: Final answer
    x = 733.92

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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.