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Finding the Fourth Proportional to 940.03, 1,297.23 and 547.04

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Solution

The fourth proportional to 940.03, 1,297.23 and 547.04 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.03 : 1,297.23 = 547.04 : x
  2. Step 2: Convert to fraction form
    940.03/1,297.23 = 547.04/x
  3. Step 3: Cross multiply
    940.03x = 1,297.23 × 547.04
  4. Step 4: Simplify right side
    940.03x = 709,637.89
  5. Step 5: Solve for x
    x = 709,637.89/940.03
  6. Step 6: Final answer
    x = 754.91

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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.