Home / 1,107.24-1,528.20-733.56

Finding the Fourth Proportional to 1,107.24, 1,528.20 and 733.56

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Solution

The fourth proportional to 1,107.24, 1,528.20 and 733.56 is: 1,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.24 : 1,528.20 = 733.56 : x
  2. Step 2: Convert to fraction form
    1,107.24/1,528.20 = 733.56/x
  3. Step 3: Cross multiply
    1,107.24x = 1,528.20 × 733.56
  4. Step 4: Simplify right side
    1,107.24x = 1,121,026.39
  5. Step 5: Solve for x
    x = 1,121,026.39/1,107.24
  6. Step 6: Final answer
    x = 1,012.45

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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.