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Finding the Fourth Proportional to 1,109.47, 1,664.00 and 484.42

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Solution

The fourth proportional to 1,109.47, 1,664.00 and 484.42 is: 726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.47 : 1,664.00 = 484.42 : x
  2. Step 2: Convert to fraction form
    1,109.47/1,664.00 = 484.42/x
  3. Step 3: Cross multiply
    1,109.47x = 1,664.00 × 484.42
  4. Step 4: Simplify right side
    1,109.47x = 806,081.77
  5. Step 5: Solve for x
    x = 806,081.77/1,109.47
  6. Step 6: Final answer
    x = 726.55

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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.