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Finding the Fourth Proportional to 1,266.69, 1,748.97 and 824.84

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Solution

The fourth proportional to 1,266.69, 1,748.97 and 824.84 is: 1,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.69 : 1,748.97 = 824.84 : x
  2. Step 2: Convert to fraction form
    1,266.69/1,748.97 = 824.84/x
  3. Step 3: Cross multiply
    1,266.69x = 1,748.97 × 824.84
  4. Step 4: Simplify right side
    1,266.69x = 1,442,611.67
  5. Step 5: Solve for x
    x = 1,442,611.67/1,266.69
  6. Step 6: Final answer
    x = 1,138.88

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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.