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Finding the Fourth Proportional to 1,245.70, 1,717.86 and 826.42

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Solution

The fourth proportional to 1,245.70, 1,717.86 and 826.42 is: 1,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.70 : 1,717.86 = 826.42 : x
  2. Step 2: Convert to fraction form
    1,245.70/1,717.86 = 826.42/x
  3. Step 3: Cross multiply
    1,245.70x = 1,717.86 × 826.42
  4. Step 4: Simplify right side
    1,245.70x = 1,419,673.86
  5. Step 5: Solve for x
    x = 1,419,673.86/1,245.70
  6. Step 6: Final answer
    x = 1,139.66

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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.