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Finding the Fourth Proportional to 869.71, 1,302.85 and 825.43

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Solution

The fourth proportional to 869.71, 1,302.85 and 825.43 is: 1,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.71 : 1,302.85 = 825.43 : x
  2. Step 2: Convert to fraction form
    869.71/1,302.85 = 825.43/x
  3. Step 3: Cross multiply
    869.71x = 1,302.85 × 825.43
  4. Step 4: Simplify right side
    869.71x = 1,075,411.48
  5. Step 5: Solve for x
    x = 1,075,411.48/869.71
  6. Step 6: Final answer
    x = 1,236.52

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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.