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Finding the Fourth Proportional to 930.40, 1,387.40 and 878.56

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Solution

The fourth proportional to 930.40, 1,387.40 and 878.56 is: 1,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.40 : 1,387.40 = 878.56 : x
  2. Step 2: Convert to fraction form
    930.40/1,387.40 = 878.56/x
  3. Step 3: Cross multiply
    930.40x = 1,387.40 × 878.56
  4. Step 4: Simplify right side
    930.40x = 1,218,914.14
  5. Step 5: Solve for x
    x = 1,218,914.14/930.40
  6. Step 6: Final answer
    x = 1,310.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.