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Finding the Fourth Proportional to 1,563.98, 2,345.97 and 409.73

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Solution

The fourth proportional to 1,563.98, 2,345.97 and 409.73 is: 614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.98 : 2,345.97 = 409.73 : x
  2. Step 2: Convert to fraction form
    1,563.98/2,345.97 = 409.73/x
  3. Step 3: Cross multiply
    1,563.98x = 2,345.97 × 409.73
  4. Step 4: Simplify right side
    1,563.98x = 961,214.29
  5. Step 5: Solve for x
    x = 961,214.29/1,563.98
  6. Step 6: Final answer
    x = 614.60

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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.