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Finding the Fourth Proportional to 930.48, 1,280.52 and 697.20

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Solution

The fourth proportional to 930.48, 1,280.52 and 697.20 is: 959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.48 : 1,280.52 = 697.20 : x
  2. Step 2: Convert to fraction form
    930.48/1,280.52 = 697.20/x
  3. Step 3: Cross multiply
    930.48x = 1,280.52 × 697.20
  4. Step 4: Simplify right side
    930.48x = 892,778.54
  5. Step 5: Solve for x
    x = 892,778.54/930.48
  6. Step 6: Final answer
    x = 959.48

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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.