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Finding the Fourth Proportional to 1,347.08, 2,016.87 and 687.54

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Solution

The fourth proportional to 1,347.08, 2,016.87 and 687.54 is: 1,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.08 : 2,016.87 = 687.54 : x
  2. Step 2: Convert to fraction form
    1,347.08/2,016.87 = 687.54/x
  3. Step 3: Cross multiply
    1,347.08x = 2,016.87 × 687.54
  4. Step 4: Simplify right side
    1,347.08x = 1,386,672.44
  5. Step 5: Solve for x
    x = 1,386,672.44/1,347.08
  6. Step 6: Final answer
    x = 1,029.39

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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.