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Finding the Fourth Proportional to 694.16, 1,038.94 and 433.27

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Solution

The fourth proportional to 694.16, 1,038.94 and 433.27 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 1,038.94 = 433.27 : x
  2. Step 2: Convert to fraction form
    694.16/1,038.94 = 433.27/x
  3. Step 3: Cross multiply
    694.16x = 1,038.94 × 433.27
  4. Step 4: Simplify right side
    694.16x = 450,141.53
  5. Step 5: Solve for x
    x = 450,141.53/694.16
  6. Step 6: Final answer
    x = 648.47

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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.