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Finding the Fourth Proportional to 597.67, 823.85 and 547.45

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Solution

The fourth proportional to 597.67, 823.85 and 547.45 is: 754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.67 : 823.85 = 547.45 : x
  2. Step 2: Convert to fraction form
    597.67/823.85 = 547.45/x
  3. Step 3: Cross multiply
    597.67x = 823.85 × 547.45
  4. Step 4: Simplify right side
    597.67x = 451,013.95
  5. Step 5: Solve for x
    x = 451,013.95/597.67
  6. Step 6: Final answer
    x = 754.62

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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.