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Finding the Fourth Proportional to 940.29, 1,297.67 and 542.07

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Solution

The fourth proportional to 940.29, 1,297.67 and 542.07 is: 748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.29 : 1,297.67 = 542.07 : x
  2. Step 2: Convert to fraction form
    940.29/1,297.67 = 542.07/x
  3. Step 3: Cross multiply
    940.29x = 1,297.67 × 542.07
  4. Step 4: Simplify right side
    940.29x = 703,427.98
  5. Step 5: Solve for x
    x = 703,427.98/940.29
  6. Step 6: Final answer
    x = 748.10

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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.