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Finding the Fourth Proportional to 930.18, 1,283.11 and 581.07

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Solution

The fourth proportional to 930.18, 1,283.11 and 581.07 is: 801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.18 : 1,283.11 = 581.07 : x
  2. Step 2: Convert to fraction form
    930.18/1,283.11 = 581.07/x
  3. Step 3: Cross multiply
    930.18x = 1,283.11 × 581.07
  4. Step 4: Simplify right side
    930.18x = 745,576.73
  5. Step 5: Solve for x
    x = 745,576.73/930.18
  6. Step 6: Final answer
    x = 801.54

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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.