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Finding the Fourth Proportional to 773.47, 1,067.54 and 478.87

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Solution

The fourth proportional to 773.47, 1,067.54 and 478.87 is: 660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.47 : 1,067.54 = 478.87 : x
  2. Step 2: Convert to fraction form
    773.47/1,067.54 = 478.87/x
  3. Step 3: Cross multiply
    773.47x = 1,067.54 × 478.87
  4. Step 4: Simplify right side
    773.47x = 511,210.49
  5. Step 5: Solve for x
    x = 511,210.49/773.47
  6. Step 6: Final answer
    x = 660.93

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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.