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Finding the Fourth Proportional to 997.15, 1,494.59 and 476.41

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Solution

The fourth proportional to 997.15, 1,494.59 and 476.41 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.15 : 1,494.59 = 476.41 : x
  2. Step 2: Convert to fraction form
    997.15/1,494.59 = 476.41/x
  3. Step 3: Cross multiply
    997.15x = 1,494.59 × 476.41
  4. Step 4: Simplify right side
    997.15x = 712,037.62
  5. Step 5: Solve for x
    x = 712,037.62/997.15
  6. Step 6: Final answer
    x = 714.07

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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.