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Finding the Fourth Proportional to 1,167.41, 1,751.12 and 1,096.13

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Solution

The fourth proportional to 1,167.41, 1,751.12 and 1,096.13 is: 1,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.41 : 1,751.12 = 1,096.13 : x
  2. Step 2: Convert to fraction form
    1,167.41/1,751.12 = 1,096.13/x
  3. Step 3: Cross multiply
    1,167.41x = 1,751.12 × 1,096.13
  4. Step 4: Simplify right side
    1,167.41x = 1,919,449.68
  5. Step 5: Solve for x
    x = 1,919,449.68/1,167.41
  6. Step 6: Final answer
    x = 1,644.20

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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.