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Finding the Fourth Proportional to 940.42, 1,297.86 and 547.30

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Solution

The fourth proportional to 940.42, 1,297.86 and 547.30 is: 755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.42 : 1,297.86 = 547.30 : x
  2. Step 2: Convert to fraction form
    940.42/1,297.86 = 547.30/x
  3. Step 3: Cross multiply
    940.42x = 1,297.86 × 547.30
  4. Step 4: Simplify right side
    940.42x = 710,318.78
  5. Step 5: Solve for x
    x = 710,318.78/940.42
  6. Step 6: Final answer
    x = 755.32

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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.