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Finding the Fourth Proportional to 1,093.97, 1,640.86 and 508.79

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Solution

The fourth proportional to 1,093.97, 1,640.86 and 508.79 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.97 : 1,640.86 = 508.79 : x
  2. Step 2: Convert to fraction form
    1,093.97/1,640.86 = 508.79/x
  3. Step 3: Cross multiply
    1,093.97x = 1,640.86 × 508.79
  4. Step 4: Simplify right side
    1,093.97x = 834,853.16
  5. Step 5: Solve for x
    x = 834,853.16/1,093.97
  6. Step 6: Final answer
    x = 763.14

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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.