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Finding the Fourth Proportional to 797.42, 1,100.50 and 448.14

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Solution

The fourth proportional to 797.42, 1,100.50 and 448.14 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.42 : 1,100.50 = 448.14 : x
  2. Step 2: Convert to fraction form
    797.42/1,100.50 = 448.14/x
  3. Step 3: Cross multiply
    797.42x = 1,100.50 × 448.14
  4. Step 4: Simplify right side
    797.42x = 493,178.07
  5. Step 5: Solve for x
    x = 493,178.07/797.42
  6. Step 6: Final answer
    x = 618.47

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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.