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Finding the Fourth Proportional to 1,797.24, 2,696.21 and 564.67

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Solution

The fourth proportional to 1,797.24, 2,696.21 and 564.67 is: 847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.24 : 2,696.21 = 564.67 : x
  2. Step 2: Convert to fraction form
    1,797.24/2,696.21 = 564.67/x
  3. Step 3: Cross multiply
    1,797.24x = 2,696.21 × 564.67
  4. Step 4: Simplify right side
    1,797.24x = 1,522,473.15
  5. Step 5: Solve for x
    x = 1,522,473.15/1,797.24
  6. Step 6: Final answer
    x = 847.12

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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.