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Finding the Fourth Proportional to 994.02, 1,491.84 and 532.12

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Solution

The fourth proportional to 994.02, 1,491.84 and 532.12 is: 798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.02 : 1,491.84 = 532.12 : x
  2. Step 2: Convert to fraction form
    994.02/1,491.84 = 532.12/x
  3. Step 3: Cross multiply
    994.02x = 1,491.84 × 532.12
  4. Step 4: Simplify right side
    994.02x = 793,837.90
  5. Step 5: Solve for x
    x = 793,837.90/994.02
  6. Step 6: Final answer
    x = 798.61

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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.