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Finding the Fourth Proportional to 787.32, 1,178.90 and 508.92

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Solution

The fourth proportional to 787.32, 1,178.90 and 508.92 is: 762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.32 : 1,178.90 = 508.92 : x
  2. Step 2: Convert to fraction form
    787.32/1,178.90 = 508.92/x
  3. Step 3: Cross multiply
    787.32x = 1,178.90 × 508.92
  4. Step 4: Simplify right side
    787.32x = 599,965.79
  5. Step 5: Solve for x
    x = 599,965.79/787.32
  6. Step 6: Final answer
    x = 762.04

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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.