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Finding the Fourth Proportional to 1,238.11, 1,857.18 and 588.71

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Solution

The fourth proportional to 1,238.11, 1,857.18 and 588.71 is: 883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.11 : 1,857.18 = 588.71 : x
  2. Step 2: Convert to fraction form
    1,238.11/1,857.18 = 588.71/x
  3. Step 3: Cross multiply
    1,238.11x = 1,857.18 × 588.71
  4. Step 4: Simplify right side
    1,238.11x = 1,093,340.44
  5. Step 5: Solve for x
    x = 1,093,340.44/1,238.11
  6. Step 6: Final answer
    x = 883.08

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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.