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Finding the Fourth Proportional to 930.90, 1,394.81 and 656.41

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Solution

The fourth proportional to 930.90, 1,394.81 and 656.41 is: 983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.90 : 1,394.81 = 656.41 : x
  2. Step 2: Convert to fraction form
    930.90/1,394.81 = 656.41/x
  3. Step 3: Cross multiply
    930.90x = 1,394.81 × 656.41
  4. Step 4: Simplify right side
    930.90x = 915,572.09
  5. Step 5: Solve for x
    x = 915,572.09/930.90
  6. Step 6: Final answer
    x = 983.54

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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.