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Finding the Fourth Proportional to 994.47, 1,491.77 and 264.02

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Solution

The fourth proportional to 994.47, 1,491.77 and 264.02 is: 396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.47 : 1,491.77 = 264.02 : x
  2. Step 2: Convert to fraction form
    994.47/1,491.77 = 264.02/x
  3. Step 3: Cross multiply
    994.47x = 1,491.77 × 264.02
  4. Step 4: Simplify right side
    994.47x = 393,861.50
  5. Step 5: Solve for x
    x = 393,861.50/994.47
  6. Step 6: Final answer
    x = 396.05

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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.