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Finding the Fourth Proportional to 942.05, 1,300.69 and 842.17

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Solution

The fourth proportional to 942.05, 1,300.69 and 842.17 is: 1,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,300.69 = 842.17 : x
  2. Step 2: Convert to fraction form
    942.05/1,300.69 = 842.17/x
  3. Step 3: Cross multiply
    942.05x = 1,300.69 × 842.17
  4. Step 4: Simplify right side
    942.05x = 1,095,396.74
  5. Step 5: Solve for x
    x = 1,095,396.74/942.05
  6. Step 6: Final answer
    x = 1,162.78

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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.