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Finding the Fourth Proportional to 601.20, 896.94 and 547.38

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Solution

The fourth proportional to 601.20, 896.94 and 547.38 is: 816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 896.94 = 547.38 : x
  2. Step 2: Convert to fraction form
    601.20/896.94 = 547.38/x
  3. Step 3: Cross multiply
    601.20x = 896.94 × 547.38
  4. Step 4: Simplify right side
    601.20x = 490,967.02
  5. Step 5: Solve for x
    x = 490,967.02/601.20
  6. Step 6: Final answer
    x = 816.65

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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.