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Finding the Fourth Proportional to 811.78, 1,215.73 and 464.06

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Solution

The fourth proportional to 811.78, 1,215.73 and 464.06 is: 694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.78 : 1,215.73 = 464.06 : x
  2. Step 2: Convert to fraction form
    811.78/1,215.73 = 464.06/x
  3. Step 3: Cross multiply
    811.78x = 1,215.73 × 464.06
  4. Step 4: Simplify right side
    811.78x = 564,169.34
  5. Step 5: Solve for x
    x = 564,169.34/811.78
  6. Step 6: Final answer
    x = 694.98

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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.