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Finding the Fourth Proportional to 1,863.46, 2,795.46 and 565.04

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Solution

The fourth proportional to 1,863.46, 2,795.46 and 565.04 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.46 : 2,795.46 = 565.04 : x
  2. Step 2: Convert to fraction form
    1,863.46/2,795.46 = 565.04/x
  3. Step 3: Cross multiply
    1,863.46x = 2,795.46 × 565.04
  4. Step 4: Simplify right side
    1,863.46x = 1,579,546.72
  5. Step 5: Solve for x
    x = 1,579,546.72/1,863.46
  6. Step 6: Final answer
    x = 847.64

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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.