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Finding the Fourth Proportional to 1,563.96, 2,345.94 and 409.71

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Solution

The fourth proportional to 1,563.96, 2,345.94 and 409.71 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.96 : 2,345.94 = 409.71 : x
  2. Step 2: Convert to fraction form
    1,563.96/2,345.94 = 409.71/x
  3. Step 3: Cross multiply
    1,563.96x = 2,345.94 × 409.71
  4. Step 4: Simplify right side
    1,563.96x = 961,155.08
  5. Step 5: Solve for x
    x = 961,155.08/1,563.96
  6. Step 6: Final answer
    x = 614.57

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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.