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Finding the Fourth Proportional to 1,375.47, 1,898.78 and 878.67

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Solution

The fourth proportional to 1,375.47, 1,898.78 and 878.67 is: 1,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.47 : 1,898.78 = 878.67 : x
  2. Step 2: Convert to fraction form
    1,375.47/1,898.78 = 878.67/x
  3. Step 3: Cross multiply
    1,375.47x = 1,898.78 × 878.67
  4. Step 4: Simplify right side
    1,375.47x = 1,668,396.63
  5. Step 5: Solve for x
    x = 1,668,396.63/1,375.47
  6. Step 6: Final answer
    x = 1,212.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.