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Finding the Fourth Proportional to 1,060.76, 1,463.94 and 641.14

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Solution

The fourth proportional to 1,060.76, 1,463.94 and 641.14 is: 884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.76 : 1,463.94 = 641.14 : x
  2. Step 2: Convert to fraction form
    1,060.76/1,463.94 = 641.14/x
  3. Step 3: Cross multiply
    1,060.76x = 1,463.94 × 641.14
  4. Step 4: Simplify right side
    1,060.76x = 938,586.83
  5. Step 5: Solve for x
    x = 938,586.83/1,060.76
  6. Step 6: Final answer
    x = 884.82

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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.