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Finding the Fourth Proportional to 923.58, 1,384.92 and 533.52

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Solution

The fourth proportional to 923.58, 1,384.92 and 533.52 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.58 : 1,384.92 = 533.52 : x
  2. Step 2: Convert to fraction form
    923.58/1,384.92 = 533.52/x
  3. Step 3: Cross multiply
    923.58x = 1,384.92 × 533.52
  4. Step 4: Simplify right side
    923.58x = 738,882.52
  5. Step 5: Solve for x
    x = 738,882.52/923.58
  6. Step 6: Final answer
    x = 800.02

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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.