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Finding the Fourth Proportional to 797.92, 1,101.18 and 448.63

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Solution

The fourth proportional to 797.92, 1,101.18 and 448.63 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.92 : 1,101.18 = 448.63 : x
  2. Step 2: Convert to fraction form
    797.92/1,101.18 = 448.63/x
  3. Step 3: Cross multiply
    797.92x = 1,101.18 × 448.63
  4. Step 4: Simplify right side
    797.92x = 494,022.38
  5. Step 5: Solve for x
    x = 494,022.38/797.92
  6. Step 6: Final answer
    x = 619.14

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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.