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Finding the Fourth Proportional to 942.04, 1,299.87 and 538.23

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Solution

The fourth proportional to 942.04, 1,299.87 and 538.23 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.04 : 1,299.87 = 538.23 : x
  2. Step 2: Convert to fraction form
    942.04/1,299.87 = 538.23/x
  3. Step 3: Cross multiply
    942.04x = 1,299.87 × 538.23
  4. Step 4: Simplify right side
    942.04x = 699,630.93
  5. Step 5: Solve for x
    x = 699,630.93/942.04
  6. Step 6: Final answer
    x = 742.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.