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Finding the Fourth Proportional to 773.72, 1,067.70 and 553.20

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Solution

The fourth proportional to 773.72, 1,067.70 and 553.20 is: 763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.72 : 1,067.70 = 553.20 : x
  2. Step 2: Convert to fraction form
    773.72/1,067.70 = 553.20/x
  3. Step 3: Cross multiply
    773.72x = 1,067.70 × 553.20
  4. Step 4: Simplify right side
    773.72x = 590,651.64
  5. Step 5: Solve for x
    x = 590,651.64/773.72
  6. Step 6: Final answer
    x = 763.39

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Double scale
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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.