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Finding the Fourth Proportional to 940.12, 1,297.48 and 547.06

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Solution

The fourth proportional to 940.12, 1,297.48 and 547.06 is: 755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.12 : 1,297.48 = 547.06 : x
  2. Step 2: Convert to fraction form
    940.12/1,297.48 = 547.06/x
  3. Step 3: Cross multiply
    940.12x = 1,297.48 × 547.06
  4. Step 4: Simplify right side
    940.12x = 709,799.41
  5. Step 5: Solve for x
    x = 709,799.41/940.12
  6. Step 6: Final answer
    x = 755.01

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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.