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Finding the Fourth Proportional to 795.25, 1,193.15 and 448.17

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Solution

The fourth proportional to 795.25, 1,193.15 and 448.17 is: 672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.25 : 1,193.15 = 448.17 : x
  2. Step 2: Convert to fraction form
    795.25/1,193.15 = 448.17/x
  3. Step 3: Cross multiply
    795.25x = 1,193.15 × 448.17
  4. Step 4: Simplify right side
    795.25x = 534,734.04
  5. Step 5: Solve for x
    x = 534,734.04/795.25
  6. Step 6: Final answer
    x = 672.41

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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.