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Finding the Fourth Proportional to 811.72, 1,119.71 and 563.25

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Solution

The fourth proportional to 811.72, 1,119.71 and 563.25 is: 776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.72 : 1,119.71 = 563.25 : x
  2. Step 2: Convert to fraction form
    811.72/1,119.71 = 563.25/x
  3. Step 3: Cross multiply
    811.72x = 1,119.71 × 563.25
  4. Step 4: Simplify right side
    811.72x = 630,673.84
  5. Step 5: Solve for x
    x = 630,673.84/811.72
  6. Step 6: Final answer
    x = 776.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.