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Finding the Fourth Proportional to 1,549.33, 2,324.04 and 562.34

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Solution

The fourth proportional to 1,549.33, 2,324.04 and 562.34 is: 843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.33 : 2,324.04 = 562.34 : x
  2. Step 2: Convert to fraction form
    1,549.33/2,324.04 = 562.34/x
  3. Step 3: Cross multiply
    1,549.33x = 2,324.04 × 562.34
  4. Step 4: Simplify right side
    1,549.33x = 1,306,907.52
  5. Step 5: Solve for x
    x = 1,306,907.52/1,549.33
  6. Step 6: Final answer
    x = 843.53

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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.