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Finding the Fourth Proportional to 1,053.00, 1,572.83 and 819.46

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Solution

The fourth proportional to 1,053.00, 1,572.83 and 819.46 is: 1,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.00 : 1,572.83 = 819.46 : x
  2. Step 2: Convert to fraction form
    1,053.00/1,572.83 = 819.46/x
  3. Step 3: Cross multiply
    1,053.00x = 1,572.83 × 819.46
  4. Step 4: Simplify right side
    1,053.00x = 1,288,859.31
  5. Step 5: Solve for x
    x = 1,288,859.31/1,053.00
  6. Step 6: Final answer
    x = 1,223.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.