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Finding the Fourth Proportional to 1,215.26, 1,821.82 and 803.53

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Solution

The fourth proportional to 1,215.26, 1,821.82 and 803.53 is: 1,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.26 : 1,821.82 = 803.53 : x
  2. Step 2: Convert to fraction form
    1,215.26/1,821.82 = 803.53/x
  3. Step 3: Cross multiply
    1,215.26x = 1,821.82 × 803.53
  4. Step 4: Simplify right side
    1,215.26x = 1,463,887.02
  5. Step 5: Solve for x
    x = 1,463,887.02/1,215.26
  6. Step 6: Final answer
    x = 1,204.59

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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.