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Finding the Fourth Proportional to 1,203.66, 1,802.25 and 997.52

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Solution

The fourth proportional to 1,203.66, 1,802.25 and 997.52 is: 1,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.66 : 1,802.25 = 997.52 : x
  2. Step 2: Convert to fraction form
    1,203.66/1,802.25 = 997.52/x
  3. Step 3: Cross multiply
    1,203.66x = 1,802.25 × 997.52
  4. Step 4: Simplify right side
    1,203.66x = 1,797,771.41
  5. Step 5: Solve for x
    x = 1,797,771.41/1,203.66
  6. Step 6: Final answer
    x = 1,493.59

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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.