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Finding the Fourth Proportional to 1,320.05, 1,819.70 and 1,039.72

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Solution

The fourth proportional to 1,320.05, 1,819.70 and 1,039.72 is: 1,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.05 : 1,819.70 = 1,039.72 : x
  2. Step 2: Convert to fraction form
    1,320.05/1,819.70 = 1,039.72/x
  3. Step 3: Cross multiply
    1,320.05x = 1,819.70 × 1,039.72
  4. Step 4: Simplify right side
    1,320.05x = 1,891,976.05
  5. Step 5: Solve for x
    x = 1,891,976.05/1,320.05
  6. Step 6: Final answer
    x = 1,433.26

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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.