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Finding the Fourth Proportional to 994.03, 1,490.50 and 416.77

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Solution

The fourth proportional to 994.03, 1,490.50 and 416.77 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.03 : 1,490.50 = 416.77 : x
  2. Step 2: Convert to fraction form
    994.03/1,490.50 = 416.77/x
  3. Step 3: Cross multiply
    994.03x = 1,490.50 × 416.77
  4. Step 4: Simplify right side
    994.03x = 621,195.69
  5. Step 5: Solve for x
    x = 621,195.69/994.03
  6. Step 6: Final answer
    x = 624.93

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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.