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Finding the Fourth Proportional to 1,537.83, 2,305.38 and 563.71

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Solution

The fourth proportional to 1,537.83, 2,305.38 and 563.71 is: 845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.83 : 2,305.38 = 563.71 : x
  2. Step 2: Convert to fraction form
    1,537.83/2,305.38 = 563.71/x
  3. Step 3: Cross multiply
    1,537.83x = 2,305.38 × 563.71
  4. Step 4: Simplify right side
    1,537.83x = 1,299,560.00
  5. Step 5: Solve for x
    x = 1,299,560.00/1,537.83
  6. Step 6: Final answer
    x = 845.06

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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.