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Finding the Fourth Proportional to 787.15, 1,179.06 and 512.02

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Solution

The fourth proportional to 787.15, 1,179.06 and 512.02 is: 766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.15 : 1,179.06 = 512.02 : x
  2. Step 2: Convert to fraction form
    787.15/1,179.06 = 512.02/x
  3. Step 3: Cross multiply
    787.15x = 1,179.06 × 512.02
  4. Step 4: Simplify right side
    787.15x = 603,702.30
  5. Step 5: Solve for x
    x = 603,702.30/787.15
  6. Step 6: Final answer
    x = 766.95

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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.