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Finding the Fourth Proportional to 1,563.63, 2,345.41 and 467.97

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Solution

The fourth proportional to 1,563.63, 2,345.41 and 467.97 is: 701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.63 : 2,345.41 = 467.97 : x
  2. Step 2: Convert to fraction form
    1,563.63/2,345.41 = 467.97/x
  3. Step 3: Cross multiply
    1,563.63x = 2,345.41 × 467.97
  4. Step 4: Simplify right side
    1,563.63x = 1,097,581.52
  5. Step 5: Solve for x
    x = 1,097,581.52/1,563.63
  6. Step 6: Final answer
    x = 701.94

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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.