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Finding the Fourth Proportional to 1,113.36, 1,667.52 and 787.68

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Solution

The fourth proportional to 1,113.36, 1,667.52 and 787.68 is: 1,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.36 : 1,667.52 = 787.68 : x
  2. Step 2: Convert to fraction form
    1,113.36/1,667.52 = 787.68/x
  3. Step 3: Cross multiply
    1,113.36x = 1,667.52 × 787.68
  4. Step 4: Simplify right side
    1,113.36x = 1,313,472.15
  5. Step 5: Solve for x
    x = 1,313,472.15/1,113.36
  6. Step 6: Final answer
    x = 1,179.74

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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.