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Finding the Fourth Proportional to 849.15, 1,273.86 and 524.07

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Solution

The fourth proportional to 849.15, 1,273.86 and 524.07 is: 786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.15 : 1,273.86 = 524.07 : x
  2. Step 2: Convert to fraction form
    849.15/1,273.86 = 524.07/x
  3. Step 3: Cross multiply
    849.15x = 1,273.86 × 524.07
  4. Step 4: Simplify right side
    849.15x = 667,591.81
  5. Step 5: Solve for x
    x = 667,591.81/849.15
  6. Step 6: Final answer
    x = 786.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.