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Finding the Fourth Proportional to 1,223.38, 1,833.62 and 442.97

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Solution

The fourth proportional to 1,223.38, 1,833.62 and 442.97 is: 663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,833.62 = 442.97 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,833.62 = 442.97/x
  3. Step 3: Cross multiply
    1,223.38x = 1,833.62 × 442.97
  4. Step 4: Simplify right side
    1,223.38x = 812,238.65
  5. Step 5: Solve for x
    x = 812,238.65/1,223.38
  6. Step 6: Final answer
    x = 663.93

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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.