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Finding the Fourth Proportional to 767.35, 1,151.46 and 761.16

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Solution

The fourth proportional to 767.35, 1,151.46 and 761.16 is: 1,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.35 : 1,151.46 = 761.16 : x
  2. Step 2: Convert to fraction form
    767.35/1,151.46 = 761.16/x
  3. Step 3: Cross multiply
    767.35x = 1,151.46 × 761.16
  4. Step 4: Simplify right side
    767.35x = 876,445.29
  5. Step 5: Solve for x
    x = 876,445.29/767.35
  6. Step 6: Final answer
    x = 1,142.18

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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.