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Finding the Fourth Proportional to 1,265.78, 1,745.97 and 818.24

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Solution

The fourth proportional to 1,265.78, 1,745.97 and 818.24 is: 1,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.78 : 1,745.97 = 818.24 : x
  2. Step 2: Convert to fraction form
    1,265.78/1,745.97 = 818.24/x
  3. Step 3: Cross multiply
    1,265.78x = 1,745.97 × 818.24
  4. Step 4: Simplify right side
    1,265.78x = 1,428,613.76
  5. Step 5: Solve for x
    x = 1,428,613.76/1,265.78
  6. Step 6: Final answer
    x = 1,128.65

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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.