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Finding the Fourth Proportional to 994.23, 1,491.82 and 446.58

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Solution

The fourth proportional to 994.23, 1,491.82 and 446.58 is: 670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.23 : 1,491.82 = 446.58 : x
  2. Step 2: Convert to fraction form
    994.23/1,491.82 = 446.58/x
  3. Step 3: Cross multiply
    994.23x = 1,491.82 × 446.58
  4. Step 4: Simplify right side
    994.23x = 666,215.86
  5. Step 5: Solve for x
    x = 666,215.86/994.23
  6. Step 6: Final answer
    x = 670.08

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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.