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Finding the Fourth Proportional to 1,372.00, 2,055.93 and 823.58

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Solution

The fourth proportional to 1,372.00, 2,055.93 and 823.58 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.00 : 2,055.93 = 823.58 : x
  2. Step 2: Convert to fraction form
    1,372.00/2,055.93 = 823.58/x
  3. Step 3: Cross multiply
    1,372.00x = 2,055.93 × 823.58
  4. Step 4: Simplify right side
    1,372.00x = 1,693,222.83
  5. Step 5: Solve for x
    x = 1,693,222.83/1,372.00
  6. Step 6: Final answer
    x = 1,234.13

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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.