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Finding the Fourth Proportional to 680.72, 1,016.18 and 632.53

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Solution

The fourth proportional to 680.72, 1,016.18 and 632.53 is: 944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 1,016.18 = 632.53 : x
  2. Step 2: Convert to fraction form
    680.72/1,016.18 = 632.53/x
  3. Step 3: Cross multiply
    680.72x = 1,016.18 × 632.53
  4. Step 4: Simplify right side
    680.72x = 642,764.81
  5. Step 5: Solve for x
    x = 642,764.81/680.72
  6. Step 6: Final answer
    x = 944.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.