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Finding the Fourth Proportional to 942.05, 1,301.09 and 642.78

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Solution

The fourth proportional to 942.05, 1,301.09 and 642.78 is: 887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,301.09 = 642.78 : x
  2. Step 2: Convert to fraction form
    942.05/1,301.09 = 642.78/x
  3. Step 3: Cross multiply
    942.05x = 1,301.09 × 642.78
  4. Step 4: Simplify right side
    942.05x = 836,311.42
  5. Step 5: Solve for x
    x = 836,311.42/942.05
  6. Step 6: Final answer
    x = 887.76

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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.