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Finding the Fourth Proportional to 865.34, 1,296.28 and 590.75

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Solution

The fourth proportional to 865.34, 1,296.28 and 590.75 is: 884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.34 : 1,296.28 = 590.75 : x
  2. Step 2: Convert to fraction form
    865.34/1,296.28 = 590.75/x
  3. Step 3: Cross multiply
    865.34x = 1,296.28 × 590.75
  4. Step 4: Simplify right side
    865.34x = 765,777.41
  5. Step 5: Solve for x
    x = 765,777.41/865.34
  6. Step 6: Final answer
    x = 884.94

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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.