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Finding the Fourth Proportional to 804.60, 1,203.26 and 619.47

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Solution

The fourth proportional to 804.60, 1,203.26 and 619.47 is: 926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.60 : 1,203.26 = 619.47 : x
  2. Step 2: Convert to fraction form
    804.60/1,203.26 = 619.47/x
  3. Step 3: Cross multiply
    804.60x = 1,203.26 × 619.47
  4. Step 4: Simplify right side
    804.60x = 745,380.37
  5. Step 5: Solve for x
    x = 745,380.37/804.60
  6. Step 6: Final answer
    x = 926.40

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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.