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Finding the Fourth Proportional to 1,356.00, 1,870.96 and 796.44

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Solution

The fourth proportional to 1,356.00, 1,870.96 and 796.44 is: 1,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.00 : 1,870.96 = 796.44 : x
  2. Step 2: Convert to fraction form
    1,356.00/1,870.96 = 796.44/x
  3. Step 3: Cross multiply
    1,356.00x = 1,870.96 × 796.44
  4. Step 4: Simplify right side
    1,356.00x = 1,490,094.05
  5. Step 5: Solve for x
    x = 1,490,094.05/1,356.00
  6. Step 6: Final answer
    x = 1,098.89

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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.