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Finding the Fourth Proportional to 879.85, 1,214.47 and 681.08

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Solution

The fourth proportional to 879.85, 1,214.47 and 681.08 is: 940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.85 : 1,214.47 = 681.08 : x
  2. Step 2: Convert to fraction form
    879.85/1,214.47 = 681.08/x
  3. Step 3: Cross multiply
    879.85x = 1,214.47 × 681.08
  4. Step 4: Simplify right side
    879.85x = 827,154.34
  5. Step 5: Solve for x
    x = 827,154.34/879.85
  6. Step 6: Final answer
    x = 940.11

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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.