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Finding the Fourth Proportional to 768.90, 1,151.46 and 632.28

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Solution

The fourth proportional to 768.90, 1,151.46 and 632.28 is: 946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.90 : 1,151.46 = 632.28 : x
  2. Step 2: Convert to fraction form
    768.90/1,151.46 = 632.28/x
  3. Step 3: Cross multiply
    768.90x = 1,151.46 × 632.28
  4. Step 4: Simplify right side
    768.90x = 728,045.13
  5. Step 5: Solve for x
    x = 728,045.13/768.90
  6. Step 6: Final answer
    x = 946.87

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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.