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Finding the Fourth Proportional to 804.16, 1,109.93 and 523.91

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Solution

The fourth proportional to 804.16, 1,109.93 and 523.91 is: 723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.16 : 1,109.93 = 523.91 : x
  2. Step 2: Convert to fraction form
    804.16/1,109.93 = 523.91/x
  3. Step 3: Cross multiply
    804.16x = 1,109.93 × 523.91
  4. Step 4: Simplify right side
    804.16x = 581,495.26
  5. Step 5: Solve for x
    x = 581,495.26/804.16
  6. Step 6: Final answer
    x = 723.11

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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.