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Finding the Fourth Proportional to 897.06, 1,344.06 and 506.82

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Solution

The fourth proportional to 897.06, 1,344.06 and 506.82 is: 759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.06 : 1,344.06 = 506.82 : x
  2. Step 2: Convert to fraction form
    897.06/1,344.06 = 506.82/x
  3. Step 3: Cross multiply
    897.06x = 1,344.06 × 506.82
  4. Step 4: Simplify right side
    897.06x = 681,196.49
  5. Step 5: Solve for x
    x = 681,196.49/897.06
  6. Step 6: Final answer
    x = 759.37

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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.