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Finding the Fourth Proportional to 923.92, 1,384.30 and 598.60

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Solution

The fourth proportional to 923.92, 1,384.30 and 598.60 is: 896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.92 : 1,384.30 = 598.60 : x
  2. Step 2: Convert to fraction form
    923.92/1,384.30 = 598.60/x
  3. Step 3: Cross multiply
    923.92x = 1,384.30 × 598.60
  4. Step 4: Simplify right side
    923.92x = 828,641.98
  5. Step 5: Solve for x
    x = 828,641.98/923.92
  6. Step 6: Final answer
    x = 896.88

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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.