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Finding the Fourth Proportional to 834.63, 1,248.96 and 787.78

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Solution

The fourth proportional to 834.63, 1,248.96 and 787.78 is: 1,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.63 : 1,248.96 = 787.78 : x
  2. Step 2: Convert to fraction form
    834.63/1,248.96 = 787.78/x
  3. Step 3: Cross multiply
    834.63x = 1,248.96 × 787.78
  4. Step 4: Simplify right side
    834.63x = 983,905.71
  5. Step 5: Solve for x
    x = 983,905.71/834.63
  6. Step 6: Final answer
    x = 1,178.85

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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.