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Finding the Fourth Proportional to 712.57, 1,067.04 and 596.72

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Solution

The fourth proportional to 712.57, 1,067.04 and 596.72 is: 893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.57 : 1,067.04 = 596.72 : x
  2. Step 2: Convert to fraction form
    712.57/1,067.04 = 596.72/x
  3. Step 3: Cross multiply
    712.57x = 1,067.04 × 596.72
  4. Step 4: Simplify right side
    712.57x = 636,724.11
  5. Step 5: Solve for x
    x = 636,724.11/712.57
  6. Step 6: Final answer
    x = 893.57

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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.