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Finding the Fourth Proportional to 773.47, 1,067.61 and 525.52

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Solution

The fourth proportional to 773.47, 1,067.61 and 525.52 is: 725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.47 : 1,067.61 = 525.52 : x
  2. Step 2: Convert to fraction form
    773.47/1,067.61 = 525.52/x
  3. Step 3: Cross multiply
    773.47x = 1,067.61 × 525.52
  4. Step 4: Simplify right side
    773.47x = 561,050.41
  5. Step 5: Solve for x
    x = 561,050.41/773.47
  6. Step 6: Final answer
    x = 725.37

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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.