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Finding the Fourth Proportional to 923.16, 1,384.20 and 533.46

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Solution

The fourth proportional to 923.16, 1,384.20 and 533.46 is: 799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.16 : 1,384.20 = 533.46 : x
  2. Step 2: Convert to fraction form
    923.16/1,384.20 = 533.46/x
  3. Step 3: Cross multiply
    923.16x = 1,384.20 × 533.46
  4. Step 4: Simplify right side
    923.16x = 738,415.33
  5. Step 5: Solve for x
    x = 738,415.33/923.16
  6. Step 6: Final answer
    x = 799.88

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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.