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Finding the Fourth Proportional to 869.18, 1,305.18 and 825.35

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Solution

The fourth proportional to 869.18, 1,305.18 and 825.35 is: 1,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.18 : 1,305.18 = 825.35 : x
  2. Step 2: Convert to fraction form
    869.18/1,305.18 = 825.35/x
  3. Step 3: Cross multiply
    869.18x = 1,305.18 × 825.35
  4. Step 4: Simplify right side
    869.18x = 1,077,223.79
  5. Step 5: Solve for x
    x = 1,077,223.79/869.18
  6. Step 6: Final answer
    x = 1,239.36

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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.