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Finding the Fourth Proportional to 1,048.73, 1,446.98 and 629.11

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Solution

The fourth proportional to 1,048.73, 1,446.98 and 629.11 is: 868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.73 : 1,446.98 = 629.11 : x
  2. Step 2: Convert to fraction form
    1,048.73/1,446.98 = 629.11/x
  3. Step 3: Cross multiply
    1,048.73x = 1,446.98 × 629.11
  4. Step 4: Simplify right side
    1,048.73x = 910,307.54
  5. Step 5: Solve for x
    x = 910,307.54/1,048.73
  6. Step 6: Final answer
    x = 868.01

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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.