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Finding the Fourth Proportional to 1,563.59, 2,345.20 and 409.43

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Solution

The fourth proportional to 1,563.59, 2,345.20 and 409.43 is: 614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.59 : 2,345.20 = 409.43 : x
  2. Step 2: Convert to fraction form
    1,563.59/2,345.20 = 409.43/x
  3. Step 3: Cross multiply
    1,563.59x = 2,345.20 × 409.43
  4. Step 4: Simplify right side
    1,563.59x = 960,195.24
  5. Step 5: Solve for x
    x = 960,195.24/1,563.59
  6. Step 6: Final answer
    x = 614.10

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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.