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Finding the Fourth Proportional to 1,060.73, 1,463.60 and 687.67

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Solution

The fourth proportional to 1,060.73, 1,463.60 and 687.67 is: 948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.73 : 1,463.60 = 687.67 : x
  2. Step 2: Convert to fraction form
    1,060.73/1,463.60 = 687.67/x
  3. Step 3: Cross multiply
    1,060.73x = 1,463.60 × 687.67
  4. Step 4: Simplify right side
    1,060.73x = 1,006,480.10
  5. Step 5: Solve for x
    x = 1,006,480.10/1,060.73
  6. Step 6: Final answer
    x = 948.86

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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.