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Finding the Fourth Proportional to 1,238.31, 1,857.87 and 588.96

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Solution

The fourth proportional to 1,238.31, 1,857.87 and 588.96 is: 883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.31 : 1,857.87 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,238.31/1,857.87 = 588.96/x
  3. Step 3: Cross multiply
    1,238.31x = 1,857.87 × 588.96
  4. Step 4: Simplify right side
    1,238.31x = 1,094,211.12
  5. Step 5: Solve for x
    x = 1,094,211.12/1,238.31
  6. Step 6: Final answer
    x = 883.63

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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.