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Finding the Fourth Proportional to 923.30, 1,383.18 and 614.22

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Solution

The fourth proportional to 923.30, 1,383.18 and 614.22 is: 920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.30 : 1,383.18 = 614.22 : x
  2. Step 2: Convert to fraction form
    923.30/1,383.18 = 614.22/x
  3. Step 3: Cross multiply
    923.30x = 1,383.18 × 614.22
  4. Step 4: Simplify right side
    923.30x = 849,576.82
  5. Step 5: Solve for x
    x = 849,576.82/923.30
  6. Step 6: Final answer
    x = 920.16

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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.