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Finding the Fourth Proportional to 763.94, 1,146.28 and 352.85

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Solution

The fourth proportional to 763.94, 1,146.28 and 352.85 is: 529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.94 : 1,146.28 = 352.85 : x
  2. Step 2: Convert to fraction form
    763.94/1,146.28 = 352.85/x
  3. Step 3: Cross multiply
    763.94x = 1,146.28 × 352.85
  4. Step 4: Simplify right side
    763.94x = 404,463.13
  5. Step 5: Solve for x
    x = 404,463.13/763.94
  6. Step 6: Final answer
    x = 529.44

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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.