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Finding the Fourth Proportional to 1,397.62, 2,095.77 and 575.22

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Solution

The fourth proportional to 1,397.62, 2,095.77 and 575.22 is: 862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.62 : 2,095.77 = 575.22 : x
  2. Step 2: Convert to fraction form
    1,397.62/2,095.77 = 575.22/x
  3. Step 3: Cross multiply
    1,397.62x = 2,095.77 × 575.22
  4. Step 4: Simplify right side
    1,397.62x = 1,205,528.82
  5. Step 5: Solve for x
    x = 1,205,528.82/1,397.62
  6. Step 6: Final answer
    x = 862.56

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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.