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Finding the Fourth Proportional to 601.38, 896.08 and 536.76

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Solution

The fourth proportional to 601.38, 896.08 and 536.76 is: 799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 896.08 = 536.76 : x
  2. Step 2: Convert to fraction form
    601.38/896.08 = 536.76/x
  3. Step 3: Cross multiply
    601.38x = 896.08 × 536.76
  4. Step 4: Simplify right side
    601.38x = 480,979.90
  5. Step 5: Solve for x
    x = 480,979.90/601.38
  6. Step 6: Final answer
    x = 799.79

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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.