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Finding the Fourth Proportional to 1,538.69, 2,306 and 563.85

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Solution

The fourth proportional to 1,538.69, 2,306 and 563.85 is: 845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.69 : 2,306 = 563.85 : x
  2. Step 2: Convert to fraction form
    1,538.69/2,306 = 563.85/x
  3. Step 3: Cross multiply
    1,538.69x = 2,306 × 563.85
  4. Step 4: Simplify right side
    1,538.69x = 1,300,238.10
  5. Step 5: Solve for x
    x = 1,300,238.10/1,538.69
  6. Step 6: Final answer
    x = 845.03

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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.