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Finding the Fourth Proportional to 708.21, 1,067.13 and 589.14

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Solution

The fourth proportional to 708.21, 1,067.13 and 589.14 is: 887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 1,067.13 = 589.14 : x
  2. Step 2: Convert to fraction form
    708.21/1,067.13 = 589.14/x
  3. Step 3: Cross multiply
    708.21x = 1,067.13 × 589.14
  4. Step 4: Simplify right side
    708.21x = 628,688.97
  5. Step 5: Solve for x
    x = 628,688.97/708.21
  6. Step 6: Final answer
    x = 887.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.