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Finding the Fourth Proportional to 1,091.30, 1,637.74 and 818.13

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Solution

The fourth proportional to 1,091.30, 1,637.74 and 818.13 is: 1,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.30 : 1,637.74 = 818.13 : x
  2. Step 2: Convert to fraction form
    1,091.30/1,637.74 = 818.13/x
  3. Step 3: Cross multiply
    1,091.30x = 1,637.74 × 818.13
  4. Step 4: Simplify right side
    1,091.30x = 1,339,876.42
  5. Step 5: Solve for x
    x = 1,339,876.42/1,091.30
  6. Step 6: Final answer
    x = 1,227.78

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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.