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Finding the Fourth Proportional to 996.53, 1,494.77 and 476.90

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Solution

The fourth proportional to 996.53, 1,494.77 and 476.90 is: 715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.53 : 1,494.77 = 476.90 : x
  2. Step 2: Convert to fraction form
    996.53/1,494.77 = 476.90/x
  3. Step 3: Cross multiply
    996.53x = 1,494.77 × 476.90
  4. Step 4: Simplify right side
    996.53x = 712,855.81
  5. Step 5: Solve for x
    x = 712,855.81/996.53
  6. Step 6: Final answer
    x = 715.34

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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.