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Finding the Fourth Proportional to 1,229.67, 1,844.53 and 305.24

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Solution

The fourth proportional to 1,229.67, 1,844.53 and 305.24 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.67 : 1,844.53 = 305.24 : x
  2. Step 2: Convert to fraction form
    1,229.67/1,844.53 = 305.24/x
  3. Step 3: Cross multiply
    1,229.67x = 1,844.53 × 305.24
  4. Step 4: Simplify right side
    1,229.67x = 563,014.35
  5. Step 5: Solve for x
    x = 563,014.35/1,229.67
  6. Step 6: Final answer
    x = 457.86

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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.