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Finding the Fourth Proportional to 810.55, 1,214.34 and 445.78

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Solution

The fourth proportional to 810.55, 1,214.34 and 445.78 is: 667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.55 : 1,214.34 = 445.78 : x
  2. Step 2: Convert to fraction form
    810.55/1,214.34 = 445.78/x
  3. Step 3: Cross multiply
    810.55x = 1,214.34 × 445.78
  4. Step 4: Simplify right side
    810.55x = 541,328.49
  5. Step 5: Solve for x
    x = 541,328.49/810.55
  6. Step 6: Final answer
    x = 667.85

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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.