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Finding the Fourth Proportional to 1,549.27, 2,323.94 and 562.28

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Solution

The fourth proportional to 1,549.27, 2,323.94 and 562.28 is: 843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.27 : 2,323.94 = 562.28 : x
  2. Step 2: Convert to fraction form
    1,549.27/2,323.94 = 562.28/x
  3. Step 3: Cross multiply
    1,549.27x = 2,323.94 × 562.28
  4. Step 4: Simplify right side
    1,549.27x = 1,306,707.98
  5. Step 5: Solve for x
    x = 1,306,707.98/1,549.27
  6. Step 6: Final answer
    x = 843.44

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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.