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Finding the Fourth Proportional to 1,010.64, 1,388.76 and 823.73

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Solution

The fourth proportional to 1,010.64, 1,388.76 and 823.73 is: 1,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.64 : 1,388.76 = 823.73 : x
  2. Step 2: Convert to fraction form
    1,010.64/1,388.76 = 823.73/x
  3. Step 3: Cross multiply
    1,010.64x = 1,388.76 × 823.73
  4. Step 4: Simplify right side
    1,010.64x = 1,143,959.16
  5. Step 5: Solve for x
    x = 1,143,959.16/1,010.64
  6. Step 6: Final answer
    x = 1,131.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.