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Finding the Fourth Proportional to 1,010.58, 1,393.41 and 862.74

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Solution

The fourth proportional to 1,010.58, 1,393.41 and 862.74 is: 1,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.58 : 1,393.41 = 862.74 : x
  2. Step 2: Convert to fraction form
    1,010.58/1,393.41 = 862.74/x
  3. Step 3: Cross multiply
    1,010.58x = 1,393.41 × 862.74
  4. Step 4: Simplify right side
    1,010.58x = 1,202,150.54
  5. Step 5: Solve for x
    x = 1,202,150.54/1,010.58
  6. Step 6: Final answer
    x = 1,189.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.