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Finding the Fourth Proportional to 1,484.05, 2,047.89 and 820.90

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Solution

The fourth proportional to 1,484.05, 2,047.89 and 820.90 is: 1,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.05 : 2,047.89 = 820.90 : x
  2. Step 2: Convert to fraction form
    1,484.05/2,047.89 = 820.90/x
  3. Step 3: Cross multiply
    1,484.05x = 2,047.89 × 820.90
  4. Step 4: Simplify right side
    1,484.05x = 1,681,112.90
  5. Step 5: Solve for x
    x = 1,681,112.90/1,484.05
  6. Step 6: Final answer
    x = 1,132.79

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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.