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Finding the Fourth Proportional to 804.06, 1,207.20 and 531.90

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Solution

The fourth proportional to 804.06, 1,207.20 and 531.90 is: 798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.06 : 1,207.20 = 531.90 : x
  2. Step 2: Convert to fraction form
    804.06/1,207.20 = 531.90/x
  3. Step 3: Cross multiply
    804.06x = 1,207.20 × 531.90
  4. Step 4: Simplify right side
    804.06x = 642,109.68
  5. Step 5: Solve for x
    x = 642,109.68/804.06
  6. Step 6: Final answer
    x = 798.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.