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Finding the Fourth Proportional to 616.02, 849.06 and 523.02

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Solution

The fourth proportional to 616.02, 849.06 and 523.02 is: 720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 849.06 = 523.02 : x
  2. Step 2: Convert to fraction form
    616.02/849.06 = 523.02/x
  3. Step 3: Cross multiply
    616.02x = 849.06 × 523.02
  4. Step 4: Simplify right side
    616.02x = 444,075.36
  5. Step 5: Solve for x
    x = 444,075.36/616.02
  6. Step 6: Final answer
    x = 720.88

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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.