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Finding the Fourth Proportional to 1,230.74, 1,846.10 and 499.82

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Solution

The fourth proportional to 1,230.74, 1,846.10 and 499.82 is: 749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.74 : 1,846.10 = 499.82 : x
  2. Step 2: Convert to fraction form
    1,230.74/1,846.10 = 499.82/x
  3. Step 3: Cross multiply
    1,230.74x = 1,846.10 × 499.82
  4. Step 4: Simplify right side
    1,230.74x = 922,717.70
  5. Step 5: Solve for x
    x = 922,717.70/1,230.74
  6. Step 6: Final answer
    x = 749.73

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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.