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Finding the Fourth Proportional to 762.96, 1,142.59 and 518.75

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Solution

The fourth proportional to 762.96, 1,142.59 and 518.75 is: 776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.96 : 1,142.59 = 518.75 : x
  2. Step 2: Convert to fraction form
    762.96/1,142.59 = 518.75/x
  3. Step 3: Cross multiply
    762.96x = 1,142.59 × 518.75
  4. Step 4: Simplify right side
    762.96x = 592,718.56
  5. Step 5: Solve for x
    x = 592,718.56/762.96
  6. Step 6: Final answer
    x = 776.87

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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.