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Finding the Fourth Proportional to 804.26, 1,207.70 and 498.07

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Solution

The fourth proportional to 804.26, 1,207.70 and 498.07 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.26 : 1,207.70 = 498.07 : x
  2. Step 2: Convert to fraction form
    804.26/1,207.70 = 498.07/x
  3. Step 3: Cross multiply
    804.26x = 1,207.70 × 498.07
  4. Step 4: Simplify right side
    804.26x = 601,517.36
  5. Step 5: Solve for x
    x = 601,517.36/804.26
  6. Step 6: Final answer
    x = 747.91

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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.