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Finding the Fourth Proportional to 811.76, 1,214.73 and 503.75

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Solution

The fourth proportional to 811.76, 1,214.73 and 503.75 is: 753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.76 : 1,214.73 = 503.75 : x
  2. Step 2: Convert to fraction form
    811.76/1,214.73 = 503.75/x
  3. Step 3: Cross multiply
    811.76x = 1,214.73 × 503.75
  4. Step 4: Simplify right side
    811.76x = 611,923.27
  5. Step 5: Solve for x
    x = 611,923.27/811.76
  6. Step 6: Final answer
    x = 753.83

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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.