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Finding the Fourth Proportional to 994.03, 1,490.74 and 446.47

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Solution

The fourth proportional to 994.03, 1,490.74 and 446.47 is: 669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.03 : 1,490.74 = 446.47 : x
  2. Step 2: Convert to fraction form
    994.03/1,490.74 = 446.47/x
  3. Step 3: Cross multiply
    994.03x = 1,490.74 × 446.47
  4. Step 4: Simplify right side
    994.03x = 665,565.84
  5. Step 5: Solve for x
    x = 665,565.84/994.03
  6. Step 6: Final answer
    x = 669.56

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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.