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Finding the Fourth Proportional to 923.22, 1,384.83 and 461.59

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Solution

The fourth proportional to 923.22, 1,384.83 and 461.59 is: 692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.22 : 1,384.83 = 461.59 : x
  2. Step 2: Convert to fraction form
    923.22/1,384.83 = 461.59/x
  3. Step 3: Cross multiply
    923.22x = 1,384.83 × 461.59
  4. Step 4: Simplify right side
    923.22x = 639,220.22
  5. Step 5: Solve for x
    x = 639,220.22/923.22
  6. Step 6: Final answer
    x = 692.38

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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.