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Finding the Fourth Proportional to 1,238.66, 1,857.98 and 498.61

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Solution

The fourth proportional to 1,238.66, 1,857.98 and 498.61 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.66 : 1,857.98 = 498.61 : x
  2. Step 2: Convert to fraction form
    1,238.66/1,857.98 = 498.61/x
  3. Step 3: Cross multiply
    1,238.66x = 1,857.98 × 498.61
  4. Step 4: Simplify right side
    1,238.66x = 926,407.41
  5. Step 5: Solve for x
    x = 926,407.41/1,238.66
  6. Step 6: Final answer
    x = 747.91

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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.