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Finding the Fourth Proportional to 865.90, 1,296.30 and 540.28

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Solution

The fourth proportional to 865.90, 1,296.30 and 540.28 is: 808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,296.30 = 540.28 : x
  2. Step 2: Convert to fraction form
    865.90/1,296.30 = 540.28/x
  3. Step 3: Cross multiply
    865.90x = 1,296.30 × 540.28
  4. Step 4: Simplify right side
    865.90x = 700,364.96
  5. Step 5: Solve for x
    x = 700,364.96/865.90
  6. Step 6: Final answer
    x = 808.83

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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.