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Finding the Fourth Proportional to 765.90, 1,147.64 and 745.65

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Solution

The fourth proportional to 765.90, 1,147.64 and 745.65 is: 1,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.90 : 1,147.64 = 745.65 : x
  2. Step 2: Convert to fraction form
    765.90/1,147.64 = 745.65/x
  3. Step 3: Cross multiply
    765.90x = 1,147.64 × 745.65
  4. Step 4: Simplify right side
    765.90x = 855,734.04
  5. Step 5: Solve for x
    x = 855,734.04/765.90
  6. Step 6: Final answer
    x = 1,117.29

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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.