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Finding the Fourth Proportional to 942.89, 1,301.42 and 549.97

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Solution

The fourth proportional to 942.89, 1,301.42 and 549.97 is: 759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.89 : 1,301.42 = 549.97 : x
  2. Step 2: Convert to fraction form
    942.89/1,301.42 = 549.97/x
  3. Step 3: Cross multiply
    942.89x = 1,301.42 × 549.97
  4. Step 4: Simplify right side
    942.89x = 715,740.08
  5. Step 5: Solve for x
    x = 715,740.08/942.89
  6. Step 6: Final answer
    x = 759.10

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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.