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Finding the Fourth Proportional to 1,083.34, 1,494.91 and 641.17

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Solution

The fourth proportional to 1,083.34, 1,494.91 and 641.17 is: 884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.34 : 1,494.91 = 641.17 : x
  2. Step 2: Convert to fraction form
    1,083.34/1,494.91 = 641.17/x
  3. Step 3: Cross multiply
    1,083.34x = 1,494.91 × 641.17
  4. Step 4: Simplify right side
    1,083.34x = 958,491.44
  5. Step 5: Solve for x
    x = 958,491.44/1,083.34
  6. Step 6: Final answer
    x = 884.76

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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.