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Finding the Fourth Proportional to 923.94, 1,385.17 and 533.49

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Solution

The fourth proportional to 923.94, 1,385.17 and 533.49 is: 799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,385.17 = 533.49 : x
  2. Step 2: Convert to fraction form
    923.94/1,385.17 = 533.49/x
  3. Step 3: Cross multiply
    923.94x = 1,385.17 × 533.49
  4. Step 4: Simplify right side
    923.94x = 738,978.04
  5. Step 5: Solve for x
    x = 738,978.04/923.94
  6. Step 6: Final answer
    x = 799.82

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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.