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Finding the Fourth Proportional to 1,356.26, 1,871.42 and 824.85

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Solution

The fourth proportional to 1,356.26, 1,871.42 and 824.85 is: 1,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.26 : 1,871.42 = 824.85 : x
  2. Step 2: Convert to fraction form
    1,356.26/1,871.42 = 824.85/x
  3. Step 3: Cross multiply
    1,356.26x = 1,871.42 × 824.85
  4. Step 4: Simplify right side
    1,356.26x = 1,543,636.66
  5. Step 5: Solve for x
    x = 1,543,636.66/1,356.26
  6. Step 6: Final answer
    x = 1,138.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.