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Finding the Fourth Proportional to 1,239.27, 1,857.81 and 508.38

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Solution

The fourth proportional to 1,239.27, 1,857.81 and 508.38 is: 762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.27 : 1,857.81 = 508.38 : x
  2. Step 2: Convert to fraction form
    1,239.27/1,857.81 = 508.38/x
  3. Step 3: Cross multiply
    1,239.27x = 1,857.81 × 508.38
  4. Step 4: Simplify right side
    1,239.27x = 944,473.45
  5. Step 5: Solve for x
    x = 944,473.45/1,239.27
  6. Step 6: Final answer
    x = 762.12

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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.