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Finding the Fourth Proportional to 712.80, 1,067.88 and 597.98

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Solution

The fourth proportional to 712.80, 1,067.88 and 597.98 is: 895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 1,067.88 = 597.98 : x
  2. Step 2: Convert to fraction form
    712.80/1,067.88 = 597.98/x
  3. Step 3: Cross multiply
    712.80x = 1,067.88 × 597.98
  4. Step 4: Simplify right side
    712.80x = 638,575.79
  5. Step 5: Solve for x
    x = 638,575.79/712.80
  6. Step 6: Final answer
    x = 895.87

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