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Finding the Fourth Proportional to 1,797.64, 2,696.10 and 564.88

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Solution

The fourth proportional to 1,797.64, 2,696.10 and 564.88 is: 847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.64 : 2,696.10 = 564.88 : x
  2. Step 2: Convert to fraction form
    1,797.64/2,696.10 = 564.88/x
  3. Step 3: Cross multiply
    1,797.64x = 2,696.10 × 564.88
  4. Step 4: Simplify right side
    1,797.64x = 1,522,972.97
  5. Step 5: Solve for x
    x = 1,522,972.97/1,797.64
  6. Step 6: Final answer
    x = 847.21

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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.