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Finding the Fourth Proportional to 1,048.69, 1,447.39 and 694.62

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Solution

The fourth proportional to 1,048.69, 1,447.39 and 694.62 is: 958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.69 : 1,447.39 = 694.62 : x
  2. Step 2: Convert to fraction form
    1,048.69/1,447.39 = 694.62/x
  3. Step 3: Cross multiply
    1,048.69x = 1,447.39 × 694.62
  4. Step 4: Simplify right side
    1,048.69x = 1,005,386.04
  5. Step 5: Solve for x
    x = 1,005,386.04/1,048.69
  6. Step 6: Final answer
    x = 958.71

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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.