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Finding the Fourth Proportional to 599.87, 901.16 and 517.86

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Solution

The fourth proportional to 599.87, 901.16 and 517.86 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.87 : 901.16 = 517.86 : x
  2. Step 2: Convert to fraction form
    599.87/901.16 = 517.86/x
  3. Step 3: Cross multiply
    599.87x = 901.16 × 517.86
  4. Step 4: Simplify right side
    599.87x = 466,674.72
  5. Step 5: Solve for x
    x = 466,674.72/599.87
  6. Step 6: Final answer
    x = 777.96

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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.