Home / 1,204.12-1,660.66-924.27

Finding the Fourth Proportional to 1,204.12, 1,660.66 and 924.27

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Solution

The fourth proportional to 1,204.12, 1,660.66 and 924.27 is: 1,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.12 : 1,660.66 = 924.27 : x
  2. Step 2: Convert to fraction form
    1,204.12/1,660.66 = 924.27/x
  3. Step 3: Cross multiply
    1,204.12x = 1,660.66 × 924.27
  4. Step 4: Simplify right side
    1,204.12x = 1,534,898.22
  5. Step 5: Solve for x
    x = 1,534,898.22/1,204.12
  6. Step 6: Final answer
    x = 1,274.71

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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.