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Finding the Fourth Proportional to 801.84, 1,104.12 and 670.64

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Solution

The fourth proportional to 801.84, 1,104.12 and 670.64 is: 923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.84 : 1,104.12 = 670.64 : x
  2. Step 2: Convert to fraction form
    801.84/1,104.12 = 670.64/x
  3. Step 3: Cross multiply
    801.84x = 1,104.12 × 670.64
  4. Step 4: Simplify right side
    801.84x = 740,467.04
  5. Step 5: Solve for x
    x = 740,467.04/801.84
  6. Step 6: Final answer
    x = 923.46

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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.