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Finding the Fourth Proportional to 808.04, 1,115.07 and 493.83

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Solution

The fourth proportional to 808.04, 1,115.07 and 493.83 is: 681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.04 : 1,115.07 = 493.83 : x
  2. Step 2: Convert to fraction form
    808.04/1,115.07 = 493.83/x
  3. Step 3: Cross multiply
    808.04x = 1,115.07 × 493.83
  4. Step 4: Simplify right side
    808.04x = 550,655.02
  5. Step 5: Solve for x
    x = 550,655.02/808.04
  6. Step 6: Final answer
    x = 681.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.