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Finding the Fourth Proportional to 1,049.74, 1,447.93 and 800.48

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Solution

The fourth proportional to 1,049.74, 1,447.93 and 800.48 is: 1,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.74 : 1,447.93 = 800.48 : x
  2. Step 2: Convert to fraction form
    1,049.74/1,447.93 = 800.48/x
  3. Step 3: Cross multiply
    1,049.74x = 1,447.93 × 800.48
  4. Step 4: Simplify right side
    1,049.74x = 1,159,039.01
  5. Step 5: Solve for x
    x = 1,159,039.01/1,049.74
  6. Step 6: Final answer
    x = 1,104.12

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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.