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Finding the Fourth Proportional to 922.57, 1,383.24 and 598.16

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Solution

The fourth proportional to 922.57, 1,383.24 and 598.16 is: 896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.57 : 1,383.24 = 598.16 : x
  2. Step 2: Convert to fraction form
    922.57/1,383.24 = 598.16/x
  3. Step 3: Cross multiply
    922.57x = 1,383.24 × 598.16
  4. Step 4: Simplify right side
    922.57x = 827,398.84
  5. Step 5: Solve for x
    x = 827,398.84/922.57
  6. Step 6: Final answer
    x = 896.84

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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.