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Finding the Fourth Proportional to 865.76, 1,297.38 and 432.32

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Solution

The fourth proportional to 865.76, 1,297.38 and 432.32 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.76 : 1,297.38 = 432.32 : x
  2. Step 2: Convert to fraction form
    865.76/1,297.38 = 432.32/x
  3. Step 3: Cross multiply
    865.76x = 1,297.38 × 432.32
  4. Step 4: Simplify right side
    865.76x = 560,883.32
  5. Step 5: Solve for x
    x = 560,883.32/865.76
  6. Step 6: Final answer
    x = 647.85

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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.