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Finding the Fourth Proportional to 598.05, 896.13 and 506.91

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Solution

The fourth proportional to 598.05, 896.13 and 506.91 is: 759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 896.13 = 506.91 : x
  2. Step 2: Convert to fraction form
    598.05/896.13 = 506.91/x
  3. Step 3: Cross multiply
    598.05x = 896.13 × 506.91
  4. Step 4: Simplify right side
    598.05x = 454,257.26
  5. Step 5: Solve for x
    x = 454,257.26/598.05
  6. Step 6: Final answer
    x = 759.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.