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Finding the Fourth Proportional to 601.35, 896.85 and 543.03

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Solution

The fourth proportional to 601.35, 896.85 and 543.03 is: 809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.35 : 896.85 = 543.03 : x
  2. Step 2: Convert to fraction form
    601.35/896.85 = 543.03/x
  3. Step 3: Cross multiply
    601.35x = 896.85 × 543.03
  4. Step 4: Simplify right side
    601.35x = 487,016.46
  5. Step 5: Solve for x
    x = 487,016.46/601.35
  6. Step 6: Final answer
    x = 809.87

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