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Finding the Fourth Proportional to 1,102.80, 1,654.26 and 322.80

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Solution

The fourth proportional to 1,102.80, 1,654.26 and 322.80 is: 484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.80 : 1,654.26 = 322.80 : x
  2. Step 2: Convert to fraction form
    1,102.80/1,654.26 = 322.80/x
  3. Step 3: Cross multiply
    1,102.80x = 1,654.26 × 322.80
  4. Step 4: Simplify right side
    1,102.80x = 533,995.13
  5. Step 5: Solve for x
    x = 533,995.13/1,102.80
  6. Step 6: Final answer
    x = 484.22

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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.