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Finding the Fourth Proportional to 1,015.73, 1,401.64 and 596.06

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Solution

The fourth proportional to 1,015.73, 1,401.64 and 596.06 is: 822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.73 : 1,401.64 = 596.06 : x
  2. Step 2: Convert to fraction form
    1,015.73/1,401.64 = 596.06/x
  3. Step 3: Cross multiply
    1,015.73x = 1,401.64 × 596.06
  4. Step 4: Simplify right side
    1,015.73x = 835,453.04
  5. Step 5: Solve for x
    x = 835,453.04/1,015.73
  6. Step 6: Final answer
    x = 822.52

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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.