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Finding the Fourth Proportional to 680.16, 942.66 and 648.48

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Solution

The fourth proportional to 680.16, 942.66 and 648.48 is: 898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 942.66 = 648.48 : x
  2. Step 2: Convert to fraction form
    680.16/942.66 = 648.48/x
  3. Step 3: Cross multiply
    680.16x = 942.66 × 648.48
  4. Step 4: Simplify right side
    680.16x = 611,296.16
  5. Step 5: Solve for x
    x = 611,296.16/680.16
  6. Step 6: Final answer
    x = 898.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.