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Finding the Fourth Proportional to 615.84, 849.03 and 596.73

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Solution

The fourth proportional to 615.84, 849.03 and 596.73 is: 822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 849.03 = 596.73 : x
  2. Step 2: Convert to fraction form
    615.84/849.03 = 596.73/x
  3. Step 3: Cross multiply
    615.84x = 849.03 × 596.73
  4. Step 4: Simplify right side
    615.84x = 506,641.67
  5. Step 5: Solve for x
    x = 506,641.67/615.84
  6. Step 6: Final answer
    x = 822.68

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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.