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Finding the Fourth Proportional to 1,138.26, 1,705.74 and 617.82

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Solution

The fourth proportional to 1,138.26, 1,705.74 and 617.82 is: 925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.26 : 1,705.74 = 617.82 : x
  2. Step 2: Convert to fraction form
    1,138.26/1,705.74 = 617.82/x
  3. Step 3: Cross multiply
    1,138.26x = 1,705.74 × 617.82
  4. Step 4: Simplify right side
    1,138.26x = 1,053,840.29
  5. Step 5: Solve for x
    x = 1,053,840.29/1,138.26
  6. Step 6: Final answer
    x = 925.83

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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.