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Finding the Fourth Proportional to 942.75, 1,301.04 and 549.81

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Solution

The fourth proportional to 942.75, 1,301.04 and 549.81 is: 758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,301.04 = 549.81 : x
  2. Step 2: Convert to fraction form
    942.75/1,301.04 = 549.81/x
  3. Step 3: Cross multiply
    942.75x = 1,301.04 × 549.81
  4. Step 4: Simplify right side
    942.75x = 715,324.80
  5. Step 5: Solve for x
    x = 715,324.80/942.75
  6. Step 6: Final answer
    x = 758.76

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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.