Home / 1,215.79-1,824.38-522.43

Finding the Fourth Proportional to 1,215.79, 1,824.38 and 522.43

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Solution

The fourth proportional to 1,215.79, 1,824.38 and 522.43 is: 783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.79 : 1,824.38 = 522.43 : x
  2. Step 2: Convert to fraction form
    1,215.79/1,824.38 = 522.43/x
  3. Step 3: Cross multiply
    1,215.79x = 1,824.38 × 522.43
  4. Step 4: Simplify right side
    1,215.79x = 953,110.84
  5. Step 5: Solve for x
    x = 953,110.84/1,215.79
  6. Step 6: Final answer
    x = 783.94

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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.