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Finding the Fourth Proportional to 1,367.35, 2,051.17 and 489.78

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Solution

The fourth proportional to 1,367.35, 2,051.17 and 489.78 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.35 : 2,051.17 = 489.78 : x
  2. Step 2: Convert to fraction form
    1,367.35/2,051.17 = 489.78/x
  3. Step 3: Cross multiply
    1,367.35x = 2,051.17 × 489.78
  4. Step 4: Simplify right side
    1,367.35x = 1,004,620.82
  5. Step 5: Solve for x
    x = 1,004,620.82/1,367.35
  6. Step 6: Final answer
    x = 734.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.