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Finding the Fourth Proportional to 1,334.55, 1,842.13 and 803.73

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Solution

The fourth proportional to 1,334.55, 1,842.13 and 803.73 is: 1,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.55 : 1,842.13 = 803.73 : x
  2. Step 2: Convert to fraction form
    1,334.55/1,842.13 = 803.73/x
  3. Step 3: Cross multiply
    1,334.55x = 1,842.13 × 803.73
  4. Step 4: Simplify right side
    1,334.55x = 1,480,575.14
  5. Step 5: Solve for x
    x = 1,480,575.14/1,334.55
  6. Step 6: Final answer
    x = 1,109.42

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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.