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Finding the Fourth Proportional to 994.88, 1,490.96 and 377.98

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Solution

The fourth proportional to 994.88, 1,490.96 and 377.98 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,490.96 = 377.98 : x
  2. Step 2: Convert to fraction form
    994.88/1,490.96 = 377.98/x
  3. Step 3: Cross multiply
    994.88x = 1,490.96 × 377.98
  4. Step 4: Simplify right side
    994.88x = 563,550.28
  5. Step 5: Solve for x
    x = 563,550.28/994.88
  6. Step 6: Final answer
    x = 566.45

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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.