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Finding the Fourth Proportional to 930.19, 1,282.55 and 681.42

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Solution

The fourth proportional to 930.19, 1,282.55 and 681.42 is: 939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.19 : 1,282.55 = 681.42 : x
  2. Step 2: Convert to fraction form
    930.19/1,282.55 = 681.42/x
  3. Step 3: Cross multiply
    930.19x = 1,282.55 × 681.42
  4. Step 4: Simplify right side
    930.19x = 873,955.22
  5. Step 5: Solve for x
    x = 873,955.22/930.19
  6. Step 6: Final answer
    x = 939.54

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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.