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Finding the Fourth Proportional to 1,098.32, 1,647.48 and 878.48

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Solution

The fourth proportional to 1,098.32, 1,647.48 and 878.48 is: 1,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.32 : 1,647.48 = 878.48 : x
  2. Step 2: Convert to fraction form
    1,098.32/1,647.48 = 878.48/x
  3. Step 3: Cross multiply
    1,098.32x = 1,647.48 × 878.48
  4. Step 4: Simplify right side
    1,098.32x = 1,447,278.23
  5. Step 5: Solve for x
    x = 1,447,278.23/1,098.32
  6. Step 6: Final answer
    x = 1,317.72

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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.