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Finding the Fourth Proportional to 994.88, 1,491.62 and 467.48

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Solution

The fourth proportional to 994.88, 1,491.62 and 467.48 is: 700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,491.62 = 467.48 : x
  2. Step 2: Convert to fraction form
    994.88/1,491.62 = 467.48/x
  3. Step 3: Cross multiply
    994.88x = 1,491.62 × 467.48
  4. Step 4: Simplify right side
    994.88x = 697,292.72
  5. Step 5: Solve for x
    x = 697,292.72/994.88
  6. Step 6: Final answer
    x = 700.88

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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.