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Finding the Fourth Proportional to 1,039.12, 1,554.40 and 854.44

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Solution

The fourth proportional to 1,039.12, 1,554.40 and 854.44 is: 1,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.12 : 1,554.40 = 854.44 : x
  2. Step 2: Convert to fraction form
    1,039.12/1,554.40 = 854.44/x
  3. Step 3: Cross multiply
    1,039.12x = 1,554.40 × 854.44
  4. Step 4: Simplify right side
    1,039.12x = 1,328,141.54
  5. Step 5: Solve for x
    x = 1,328,141.54/1,039.12
  6. Step 6: Final answer
    x = 1,278.14

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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.