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Finding the Fourth Proportional to 994, 1,490.82 and 344.74

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Solution

The fourth proportional to 994, 1,490.82 and 344.74 is: 517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    994 : 1,490.82 = 344.74 : x
  2. Step 2: Convert to fraction form
    994/1,490.82 = 344.74/x
  3. Step 3: Cross multiply
    994x = 1,490.82 × 344.74
  4. Step 4: Simplify right side
    994x = 513,945.29
  5. Step 5: Solve for x
    x = 513,945.29/994
  6. Step 6: Final answer
    x = 517.05

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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.