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Finding the Fourth Proportional to 922.82, 1,383.62 and 598.41

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Solution

The fourth proportional to 922.82, 1,383.62 and 598.41 is: 897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.82 : 1,383.62 = 598.41 : x
  2. Step 2: Convert to fraction form
    922.82/1,383.62 = 598.41/x
  3. Step 3: Cross multiply
    922.82x = 1,383.62 × 598.41
  4. Step 4: Simplify right side
    922.82x = 827,969.05
  5. Step 5: Solve for x
    x = 827,969.05/922.82
  6. Step 6: Final answer
    x = 897.22

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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.