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Finding the Fourth Proportional to 1,215.52, 1,824.90 and 729.52

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Solution

The fourth proportional to 1,215.52, 1,824.90 and 729.52 is: 1,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.52 : 1,824.90 = 729.52 : x
  2. Step 2: Convert to fraction form
    1,215.52/1,824.90 = 729.52/x
  3. Step 3: Cross multiply
    1,215.52x = 1,824.90 × 729.52
  4. Step 4: Simplify right side
    1,215.52x = 1,331,301.05
  5. Step 5: Solve for x
    x = 1,331,301.05/1,215.52
  6. Step 6: Final answer
    x = 1,095.25

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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.