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Finding the Fourth Proportional to 1,311.15, 1,966.12 and 763.49

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Solution

The fourth proportional to 1,311.15, 1,966.12 and 763.49 is: 1,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.15 : 1,966.12 = 763.49 : x
  2. Step 2: Convert to fraction form
    1,311.15/1,966.12 = 763.49/x
  3. Step 3: Cross multiply
    1,311.15x = 1,966.12 × 763.49
  4. Step 4: Simplify right side
    1,311.15x = 1,501,120.26
  5. Step 5: Solve for x
    x = 1,501,120.26/1,311.15
  6. Step 6: Final answer
    x = 1,144.88

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1.5x scale

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.