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Finding the Fourth Proportional to 1,191.80, 1,787.70 and 1,011.80

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Solution

The fourth proportional to 1,191.80, 1,787.70 and 1,011.80 is: 1,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.80 : 1,787.70 = 1,011.80 : x
  2. Step 2: Convert to fraction form
    1,191.80/1,787.70 = 1,011.80/x
  3. Step 3: Cross multiply
    1,191.80x = 1,787.70 × 1,011.80
  4. Step 4: Simplify right side
    1,191.80x = 1,808,794.86
  5. Step 5: Solve for x
    x = 1,808,794.86/1,191.80
  6. Step 6: Final answer
    x = 1,517.70

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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.