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Finding the Fourth Proportional to 811.72, 1,216.96 and 503.52

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Solution

The fourth proportional to 811.72, 1,216.96 and 503.52 is: 754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.72 : 1,216.96 = 503.52 : x
  2. Step 2: Convert to fraction form
    811.72/1,216.96 = 503.52/x
  3. Step 3: Cross multiply
    811.72x = 1,216.96 × 503.52
  4. Step 4: Simplify right side
    811.72x = 612,763.70
  5. Step 5: Solve for x
    x = 612,763.70/811.72
  6. Step 6: Final answer
    x = 754.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.