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Finding the Fourth Proportional to 712.99, 1,067.46 and 468.78

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Solution

The fourth proportional to 712.99, 1,067.46 and 468.78 is: 701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.99 : 1,067.46 = 468.78 : x
  2. Step 2: Convert to fraction form
    712.99/1,067.46 = 468.78/x
  3. Step 3: Cross multiply
    712.99x = 1,067.46 × 468.78
  4. Step 4: Simplify right side
    712.99x = 500,403.90
  5. Step 5: Solve for x
    x = 500,403.90/712.99
  6. Step 6: Final answer
    x = 701.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.