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Finding the Fourth Proportional to 807.82, 1,215.84 and 603.48

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Solution

The fourth proportional to 807.82, 1,215.84 and 603.48 is: 908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.82 : 1,215.84 = 603.48 : x
  2. Step 2: Convert to fraction form
    807.82/1,215.84 = 603.48/x
  3. Step 3: Cross multiply
    807.82x = 1,215.84 × 603.48
  4. Step 4: Simplify right side
    807.82x = 733,726.60
  5. Step 5: Solve for x
    x = 733,726.60/807.82
  6. Step 6: Final answer
    x = 908.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.