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Finding the Fourth Proportional to 1,238.39, 1,857.66 and 545.39

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Solution

The fourth proportional to 1,238.39, 1,857.66 and 545.39 is: 818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.39 : 1,857.66 = 545.39 : x
  2. Step 2: Convert to fraction form
    1,238.39/1,857.66 = 545.39/x
  3. Step 3: Cross multiply
    1,238.39x = 1,857.66 × 545.39
  4. Step 4: Simplify right side
    1,238.39x = 1,013,139.90
  5. Step 5: Solve for x
    x = 1,013,139.90/1,238.39
  6. Step 6: Final answer
    x = 818.11

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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.