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Finding the Fourth Proportional to 1,734.69, 2,602.19 and 564.64

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Solution

The fourth proportional to 1,734.69, 2,602.19 and 564.64 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.69 : 2,602.19 = 564.64 : x
  2. Step 2: Convert to fraction form
    1,734.69/2,602.19 = 564.64/x
  3. Step 3: Cross multiply
    1,734.69x = 2,602.19 × 564.64
  4. Step 4: Simplify right side
    1,734.69x = 1,469,310.11
  5. Step 5: Solve for x
    x = 1,469,310.11/1,734.69
  6. Step 6: Final answer
    x = 847.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.