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Finding the Fourth Proportional to 767.68, 1,151.76 and 585.28

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Solution

The fourth proportional to 767.68, 1,151.76 and 585.28 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.68 : 1,151.76 = 585.28 : x
  2. Step 2: Convert to fraction form
    767.68/1,151.76 = 585.28/x
  3. Step 3: Cross multiply
    767.68x = 1,151.76 × 585.28
  4. Step 4: Simplify right side
    767.68x = 674,102.09
  5. Step 5: Solve for x
    x = 674,102.09/767.68
  6. Step 6: Final answer
    x = 878.10

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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.