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Finding the Fourth Proportional to 923.40, 1,384.19 and 533.28

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Solution

The fourth proportional to 923.40, 1,384.19 and 533.28 is: 799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.40 : 1,384.19 = 533.28 : x
  2. Step 2: Convert to fraction form
    923.40/1,384.19 = 533.28/x
  3. Step 3: Cross multiply
    923.40x = 1,384.19 × 533.28
  4. Step 4: Simplify right side
    923.40x = 738,165.37
  5. Step 5: Solve for x
    x = 738,165.37/923.40
  6. Step 6: Final answer
    x = 799.40

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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.