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Finding the Fourth Proportional to 1,353.78, 2,030.67 and 865.62

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Solution

The fourth proportional to 1,353.78, 2,030.67 and 865.62 is: 1,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.78 : 2,030.67 = 865.62 : x
  2. Step 2: Convert to fraction form
    1,353.78/2,030.67 = 865.62/x
  3. Step 3: Cross multiply
    1,353.78x = 2,030.67 × 865.62
  4. Step 4: Simplify right side
    1,353.78x = 1,757,788.57
  5. Step 5: Solve for x
    x = 1,757,788.57/1,353.78
  6. Step 6: Final answer
    x = 1,298.43

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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.