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Finding the Fourth Proportional to 865.09, 1,297.14 and 591.52

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Solution

The fourth proportional to 865.09, 1,297.14 and 591.52 is: 886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.09 : 1,297.14 = 591.52 : x
  2. Step 2: Convert to fraction form
    865.09/1,297.14 = 591.52/x
  3. Step 3: Cross multiply
    865.09x = 1,297.14 × 591.52
  4. Step 4: Simplify right side
    865.09x = 767,284.25
  5. Step 5: Solve for x
    x = 767,284.25/865.09
  6. Step 6: Final answer
    x = 886.94

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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.