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Finding the Fourth Proportional to 787.88, 1,182.62 and 556.04

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Solution

The fourth proportional to 787.88, 1,182.62 and 556.04 is: 834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.88 : 1,182.62 = 556.04 : x
  2. Step 2: Convert to fraction form
    787.88/1,182.62 = 556.04/x
  3. Step 3: Cross multiply
    787.88x = 1,182.62 × 556.04
  4. Step 4: Simplify right side
    787.88x = 657,584.02
  5. Step 5: Solve for x
    x = 657,584.02/787.88
  6. Step 6: Final answer
    x = 834.62

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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.