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Finding the Fourth Proportional to 940.04, 1,297.36 and 541.82

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Solution

The fourth proportional to 940.04, 1,297.36 and 541.82 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.04 : 1,297.36 = 541.82 : x
  2. Step 2: Convert to fraction form
    940.04/1,297.36 = 541.82/x
  3. Step 3: Cross multiply
    940.04x = 1,297.36 × 541.82
  4. Step 4: Simplify right side
    940.04x = 702,935.60
  5. Step 5: Solve for x
    x = 702,935.60/940.04
  6. Step 6: Final answer
    x = 747.77

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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.