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Finding the Fourth Proportional to 1,015.68, 1,401.52 and 596.04

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Solution

The fourth proportional to 1,015.68, 1,401.52 and 596.04 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.68 : 1,401.52 = 596.04 : x
  2. Step 2: Convert to fraction form
    1,015.68/1,401.52 = 596.04/x
  3. Step 3: Cross multiply
    1,015.68x = 1,401.52 × 596.04
  4. Step 4: Simplify right side
    1,015.68x = 835,361.98
  5. Step 5: Solve for x
    x = 835,361.98/1,015.68
  6. Step 6: Final answer
    x = 822.47

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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.