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Finding the Fourth Proportional to 761.46, 1,144.43 and 632.29

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Solution

The fourth proportional to 761.46, 1,144.43 and 632.29 is: 950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.46 : 1,144.43 = 632.29 : x
  2. Step 2: Convert to fraction form
    761.46/1,144.43 = 632.29/x
  3. Step 3: Cross multiply
    761.46x = 1,144.43 × 632.29
  4. Step 4: Simplify right side
    761.46x = 723,611.64
  5. Step 5: Solve for x
    x = 723,611.64/761.46
  6. Step 6: Final answer
    x = 950.30

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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.