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Finding the Fourth Proportional to 819.81, 1,130.40 and 622.98

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Solution

The fourth proportional to 819.81, 1,130.40 and 622.98 is: 859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.81 : 1,130.40 = 622.98 : x
  2. Step 2: Convert to fraction form
    819.81/1,130.40 = 622.98/x
  3. Step 3: Cross multiply
    819.81x = 1,130.40 × 622.98
  4. Step 4: Simplify right side
    819.81x = 704,216.59
  5. Step 5: Solve for x
    x = 704,216.59/819.81
  6. Step 6: Final answer
    x = 859.00

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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.