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Finding the Fourth Proportional to 1,015.82, 1,521.56 and 942.38

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Solution

The fourth proportional to 1,015.82, 1,521.56 and 942.38 is: 1,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.82 : 1,521.56 = 942.38 : x
  2. Step 2: Convert to fraction form
    1,015.82/1,521.56 = 942.38/x
  3. Step 3: Cross multiply
    1,015.82x = 1,521.56 × 942.38
  4. Step 4: Simplify right side
    1,015.82x = 1,433,887.71
  5. Step 5: Solve for x
    x = 1,433,887.71/1,015.82
  6. Step 6: Final answer
    x = 1,411.56

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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.