Home / 1,216.14-1,677.57-823.26

Finding the Fourth Proportional to 1,216.14, 1,677.57 and 823.26

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Solution

The fourth proportional to 1,216.14, 1,677.57 and 823.26 is: 1,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,677.57 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,677.57 = 823.26/x
  3. Step 3: Cross multiply
    1,216.14x = 1,677.57 × 823.26
  4. Step 4: Simplify right side
    1,216.14x = 1,381,076.28
  5. Step 5: Solve for x
    x = 1,381,076.28/1,216.14
  6. Step 6: Final answer
    x = 1,135.62

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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.