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Finding the Fourth Proportional to 1,311.08, 1,808.88 and 786.20

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Solution

The fourth proportional to 1,311.08, 1,808.88 and 786.20 is: 1,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.08 : 1,808.88 = 786.20 : x
  2. Step 2: Convert to fraction form
    1,311.08/1,808.88 = 786.20/x
  3. Step 3: Cross multiply
    1,311.08x = 1,808.88 × 786.20
  4. Step 4: Simplify right side
    1,311.08x = 1,422,141.46
  5. Step 5: Solve for x
    x = 1,422,141.46/1,311.08
  6. Step 6: Final answer
    x = 1,084.71

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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.