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Finding the Fourth Proportional to 765.03, 1,145.95 and 634.72

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Solution

The fourth proportional to 765.03, 1,145.95 and 634.72 is: 950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.03 : 1,145.95 = 634.72 : x
  2. Step 2: Convert to fraction form
    765.03/1,145.95 = 634.72/x
  3. Step 3: Cross multiply
    765.03x = 1,145.95 × 634.72
  4. Step 4: Simplify right side
    765.03x = 727,355.08
  5. Step 5: Solve for x
    x = 727,355.08/765.03
  6. Step 6: Final answer
    x = 950.76

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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.