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Finding the Fourth Proportional to 893.09, 1,232.77 and 614.25

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Solution

The fourth proportional to 893.09, 1,232.77 and 614.25 is: 847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.09 : 1,232.77 = 614.25 : x
  2. Step 2: Convert to fraction form
    893.09/1,232.77 = 614.25/x
  3. Step 3: Cross multiply
    893.09x = 1,232.77 × 614.25
  4. Step 4: Simplify right side
    893.09x = 757,228.59
  5. Step 5: Solve for x
    x = 757,228.59/893.09
  6. Step 6: Final answer
    x = 847.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.