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Finding the Fourth Proportional to 923.64, 1,384.43 and 461.81

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Solution

The fourth proportional to 923.64, 1,384.43 and 461.81 is: 692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.64 : 1,384.43 = 461.81 : x
  2. Step 2: Convert to fraction form
    923.64/1,384.43 = 461.81/x
  3. Step 3: Cross multiply
    923.64x = 1,384.43 × 461.81
  4. Step 4: Simplify right side
    923.64x = 639,343.62
  5. Step 5: Solve for x
    x = 639,343.62/923.64
  6. Step 6: Final answer
    x = 692.20

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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.