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Finding the Fourth Proportional to 1,396.43, 2,095.16 and 574.25

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Solution

The fourth proportional to 1,396.43, 2,095.16 and 574.25 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.43 : 2,095.16 = 574.25 : x
  2. Step 2: Convert to fraction form
    1,396.43/2,095.16 = 574.25/x
  3. Step 3: Cross multiply
    1,396.43x = 2,095.16 × 574.25
  4. Step 4: Simplify right side
    1,396.43x = 1,203,148.00
  5. Step 5: Solve for x
    x = 1,203,148.00/1,396.43
  6. Step 6: Final answer
    x = 861.59

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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.