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Finding the Fourth Proportional to 804.86, 1,210.96 and 480.48

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Solution

The fourth proportional to 804.86, 1,210.96 and 480.48 is: 722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.86 : 1,210.96 = 480.48 : x
  2. Step 2: Convert to fraction form
    804.86/1,210.96 = 480.48/x
  3. Step 3: Cross multiply
    804.86x = 1,210.96 × 480.48
  4. Step 4: Simplify right side
    804.86x = 581,842.06
  5. Step 5: Solve for x
    x = 581,842.06/804.86
  6. Step 6: Final answer
    x = 722.91

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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.