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Finding the Fourth Proportional to 994.07, 1,491.18 and 446.31

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Solution

The fourth proportional to 994.07, 1,491.18 and 446.31 is: 669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.07 : 1,491.18 = 446.31 : x
  2. Step 2: Convert to fraction form
    994.07/1,491.18 = 446.31/x
  3. Step 3: Cross multiply
    994.07x = 1,491.18 × 446.31
  4. Step 4: Simplify right side
    994.07x = 665,526.87
  5. Step 5: Solve for x
    x = 665,526.87/994.07
  6. Step 6: Final answer
    x = 669.50

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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.