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Finding the Fourth Proportional to 1,538.46, 2,304.99 and 563.94

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Solution

The fourth proportional to 1,538.46, 2,304.99 and 563.94 is: 844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.46 : 2,304.99 = 563.94 : x
  2. Step 2: Convert to fraction form
    1,538.46/2,304.99 = 563.94/x
  3. Step 3: Cross multiply
    1,538.46x = 2,304.99 × 563.94
  4. Step 4: Simplify right side
    1,538.46x = 1,299,876.06
  5. Step 5: Solve for x
    x = 1,299,876.06/1,538.46
  6. Step 6: Final answer
    x = 844.92

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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.