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Finding the Fourth Proportional to 773.19, 1,067.90 and 524.07

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Solution

The fourth proportional to 773.19, 1,067.90 and 524.07 is: 723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.19 : 1,067.90 = 524.07 : x
  2. Step 2: Convert to fraction form
    773.19/1,067.90 = 524.07/x
  3. Step 3: Cross multiply
    773.19x = 1,067.90 × 524.07
  4. Step 4: Simplify right side
    773.19x = 559,646.39
  5. Step 5: Solve for x
    x = 559,646.39/773.19
  6. Step 6: Final answer
    x = 723.82

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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.