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Finding the Fourth Proportional to 897.21, 1,344.37 and 588.83

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Solution

The fourth proportional to 897.21, 1,344.37 and 588.83 is: 882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.21 : 1,344.37 = 588.83 : x
  2. Step 2: Convert to fraction form
    897.21/1,344.37 = 588.83/x
  3. Step 3: Cross multiply
    897.21x = 1,344.37 × 588.83
  4. Step 4: Simplify right side
    897.21x = 791,603.73
  5. Step 5: Solve for x
    x = 791,603.73/897.21
  6. Step 6: Final answer
    x = 882.29

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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.