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Finding the Fourth Proportional to 981.96, 1,473.03 and 494.70

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Solution

The fourth proportional to 981.96, 1,473.03 and 494.70 is: 742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.96 : 1,473.03 = 494.70 : x
  2. Step 2: Convert to fraction form
    981.96/1,473.03 = 494.70/x
  3. Step 3: Cross multiply
    981.96x = 1,473.03 × 494.70
  4. Step 4: Simplify right side
    981.96x = 728,707.94
  5. Step 5: Solve for x
    x = 728,707.94/981.96
  6. Step 6: Final answer
    x = 742.10

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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.