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Finding the Fourth Proportional to 762.07, 1,143.17 and 559.16

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Solution

The fourth proportional to 762.07, 1,143.17 and 559.16 is: 838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.07 : 1,143.17 = 559.16 : x
  2. Step 2: Convert to fraction form
    762.07/1,143.17 = 559.16/x
  3. Step 3: Cross multiply
    762.07x = 1,143.17 × 559.16
  4. Step 4: Simplify right side
    762.07x = 639,214.94
  5. Step 5: Solve for x
    x = 639,214.94/762.07
  6. Step 6: Final answer
    x = 838.79

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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.