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Finding the Fourth Proportional to 681.11, 941.66 and 652.08

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Solution

The fourth proportional to 681.11, 941.66 and 652.08 is: 901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.11 : 941.66 = 652.08 : x
  2. Step 2: Convert to fraction form
    681.11/941.66 = 652.08/x
  3. Step 3: Cross multiply
    681.11x = 941.66 × 652.08
  4. Step 4: Simplify right side
    681.11x = 614,040.37
  5. Step 5: Solve for x
    x = 614,040.37/681.11
  6. Step 6: Final answer
    x = 901.53

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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.