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Finding the Fourth Proportional to 787.14, 1,178.19 and 420.81

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Solution

The fourth proportional to 787.14, 1,178.19 and 420.81 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.14 : 1,178.19 = 420.81 : x
  2. Step 2: Convert to fraction form
    787.14/1,178.19 = 420.81/x
  3. Step 3: Cross multiply
    787.14x = 1,178.19 × 420.81
  4. Step 4: Simplify right side
    787.14x = 495,794.13
  5. Step 5: Solve for x
    x = 495,794.13/787.14
  6. Step 6: Final answer
    x = 629.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.