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Finding the Fourth Proportional to 1,356.33, 1,872.42 and 859.49

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Solution

The fourth proportional to 1,356.33, 1,872.42 and 859.49 is: 1,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.33 : 1,872.42 = 859.49 : x
  2. Step 2: Convert to fraction form
    1,356.33/1,872.42 = 859.49/x
  3. Step 3: Cross multiply
    1,356.33x = 1,872.42 × 859.49
  4. Step 4: Simplify right side
    1,356.33x = 1,609,316.90
  5. Step 5: Solve for x
    x = 1,609,316.90/1,356.33
  6. Step 6: Final answer
    x = 1,186.52

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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.