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Finding the Fourth Proportional to 1,093.13, 1,508.31 and 761.44

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Solution

The fourth proportional to 1,093.13, 1,508.31 and 761.44 is: 1,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.13 : 1,508.31 = 761.44 : x
  2. Step 2: Convert to fraction form
    1,093.13/1,508.31 = 761.44/x
  3. Step 3: Cross multiply
    1,093.13x = 1,508.31 × 761.44
  4. Step 4: Simplify right side
    1,093.13x = 1,148,487.57
  5. Step 5: Solve for x
    x = 1,148,487.57/1,093.13
  6. Step 6: Final answer
    x = 1,050.64

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Why These Related Problems?

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