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Finding the Fourth Proportional to 1,298.34, 1,787.76 and 878.49

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Solution

The fourth proportional to 1,298.34, 1,787.76 and 878.49 is: 1,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.34 : 1,787.76 = 878.49 : x
  2. Step 2: Convert to fraction form
    1,298.34/1,787.76 = 878.49/x
  3. Step 3: Cross multiply
    1,298.34x = 1,787.76 × 878.49
  4. Step 4: Simplify right side
    1,298.34x = 1,570,529.28
  5. Step 5: Solve for x
    x = 1,570,529.28/1,298.34
  6. Step 6: Final answer
    x = 1,209.64

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Why These Related Problems?

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