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Finding the Fourth Proportional to 849.86, 1,275.27 and 459.86

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Solution

The fourth proportional to 849.86, 1,275.27 and 459.86 is: 690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.86 : 1,275.27 = 459.86 : x
  2. Step 2: Convert to fraction form
    849.86/1,275.27 = 459.86/x
  3. Step 3: Cross multiply
    849.86x = 1,275.27 × 459.86
  4. Step 4: Simplify right side
    849.86x = 586,439.29
  5. Step 5: Solve for x
    x = 586,439.29/849.86
  6. Step 6: Final answer
    x = 690.05

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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.