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Finding the Fourth Proportional to 1,397.06, 2,094.87 and 575.18

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Solution

The fourth proportional to 1,397.06, 2,094.87 and 575.18 is: 862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.06 : 2,094.87 = 575.18 : x
  2. Step 2: Convert to fraction form
    1,397.06/2,094.87 = 575.18/x
  3. Step 3: Cross multiply
    1,397.06x = 2,094.87 × 575.18
  4. Step 4: Simplify right side
    1,397.06x = 1,204,927.33
  5. Step 5: Solve for x
    x = 1,204,927.33/1,397.06
  6. Step 6: Final answer
    x = 862.47

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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.