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Finding the Fourth Proportional to 1,365.16, 2,048.70 and 878.44

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Solution

The fourth proportional to 1,365.16, 2,048.70 and 878.44 is: 1,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.16 : 2,048.70 = 878.44 : x
  2. Step 2: Convert to fraction form
    1,365.16/2,048.70 = 878.44/x
  3. Step 3: Cross multiply
    1,365.16x = 2,048.70 × 878.44
  4. Step 4: Simplify right side
    1,365.16x = 1,799,660.03
  5. Step 5: Solve for x
    x = 1,799,660.03/1,365.16
  6. Step 6: Final answer
    x = 1,318.28

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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.