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Finding the Fourth Proportional to 804.91, 1,110.31 and 473.27

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Solution

The fourth proportional to 804.91, 1,110.31 and 473.27 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.91 : 1,110.31 = 473.27 : x
  2. Step 2: Convert to fraction form
    804.91/1,110.31 = 473.27/x
  3. Step 3: Cross multiply
    804.91x = 1,110.31 × 473.27
  4. Step 4: Simplify right side
    804.91x = 525,476.41
  5. Step 5: Solve for x
    x = 525,476.41/804.91
  6. Step 6: Final answer
    x = 652.84

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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.