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Finding the Fourth Proportional to 897.92, 1,344.96 and 829.60

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Solution

The fourth proportional to 897.92, 1,344.96 and 829.60 is: 1,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.92 : 1,344.96 = 829.60 : x
  2. Step 2: Convert to fraction form
    897.92/1,344.96 = 829.60/x
  3. Step 3: Cross multiply
    897.92x = 1,344.96 × 829.60
  4. Step 4: Simplify right side
    897.92x = 1,115,778.82
  5. Step 5: Solve for x
    x = 1,115,778.82/897.92
  6. Step 6: Final answer
    x = 1,242.63

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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.