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Finding the Fourth Proportional to 897.73, 1,344.55 and 568.66

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Solution

The fourth proportional to 897.73, 1,344.55 and 568.66 is: 851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.73 : 1,344.55 = 568.66 : x
  2. Step 2: Convert to fraction form
    897.73/1,344.55 = 568.66/x
  3. Step 3: Cross multiply
    897.73x = 1,344.55 × 568.66
  4. Step 4: Simplify right side
    897.73x = 764,588.72
  5. Step 5: Solve for x
    x = 764,588.72/897.73
  6. Step 6: Final answer
    x = 851.69

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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.