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Finding the Fourth Proportional to 1,311.99, 1,809.72 and 787.92

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Solution

The fourth proportional to 1,311.99, 1,809.72 and 787.92 is: 1,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.99 : 1,809.72 = 787.92 : x
  2. Step 2: Convert to fraction form
    1,311.99/1,809.72 = 787.92/x
  3. Step 3: Cross multiply
    1,311.99x = 1,809.72 × 787.92
  4. Step 4: Simplify right side
    1,311.99x = 1,425,914.58
  5. Step 5: Solve for x
    x = 1,425,914.58/1,311.99
  6. Step 6: Final answer
    x = 1,086.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.