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Finding the Fourth Proportional to 739.42, 1,103.02 and 616.30

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Solution

The fourth proportional to 739.42, 1,103.02 and 616.30 is: 919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.42 : 1,103.02 = 616.30 : x
  2. Step 2: Convert to fraction form
    739.42/1,103.02 = 616.30/x
  3. Step 3: Cross multiply
    739.42x = 1,103.02 × 616.30
  4. Step 4: Simplify right side
    739.42x = 679,791.23
  5. Step 5: Solve for x
    x = 679,791.23/739.42
  6. Step 6: Final answer
    x = 919.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.