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Finding the Fourth Proportional to 1,863.50, 2,795.25 and 565.07

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Solution

The fourth proportional to 1,863.50, 2,795.25 and 565.07 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.50 : 2,795.25 = 565.07 : x
  2. Step 2: Convert to fraction form
    1,863.50/2,795.25 = 565.07/x
  3. Step 3: Cross multiply
    1,863.50x = 2,795.25 × 565.07
  4. Step 4: Simplify right side
    1,863.50x = 1,579,511.92
  5. Step 5: Solve for x
    x = 1,579,511.92/1,863.50
  6. Step 6: Final answer
    x = 847.61

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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.