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Finding the Fourth Proportional to 996.02, 1,491.98 and 583.91

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Solution

The fourth proportional to 996.02, 1,491.98 and 583.91 is: 874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.02 : 1,491.98 = 583.91 : x
  2. Step 2: Convert to fraction form
    996.02/1,491.98 = 583.91/x
  3. Step 3: Cross multiply
    996.02x = 1,491.98 × 583.91
  4. Step 4: Simplify right side
    996.02x = 871,171.66
  5. Step 5: Solve for x
    x = 871,171.66/996.02
  6. Step 6: Final answer
    x = 874.65

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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.