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Finding the Fourth Proportional to 804.33, 1,108.96 and 686.07

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Solution

The fourth proportional to 804.33, 1,108.96 and 686.07 is: 945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.33 : 1,108.96 = 686.07 : x
  2. Step 2: Convert to fraction form
    804.33/1,108.96 = 686.07/x
  3. Step 3: Cross multiply
    804.33x = 1,108.96 × 686.07
  4. Step 4: Simplify right side
    804.33x = 760,822.47
  5. Step 5: Solve for x
    x = 760,822.47/804.33
  6. Step 6: Final answer
    x = 945.91

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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.