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Finding the Fourth Proportional to 694.29, 1,040.40 and 632.82

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Solution

The fourth proportional to 694.29, 1,040.40 and 632.82 is: 948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.29 : 1,040.40 = 632.82 : x
  2. Step 2: Convert to fraction form
    694.29/1,040.40 = 632.82/x
  3. Step 3: Cross multiply
    694.29x = 1,040.40 × 632.82
  4. Step 4: Simplify right side
    694.29x = 658,385.93
  5. Step 5: Solve for x
    x = 658,385.93/694.29
  6. Step 6: Final answer
    x = 948.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.