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Finding the Fourth Proportional to 1,375.98, 2,064.98 and 856.73

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Solution

The fourth proportional to 1,375.98, 2,064.98 and 856.73 is: 1,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.98 : 2,064.98 = 856.73 : x
  2. Step 2: Convert to fraction form
    1,375.98/2,064.98 = 856.73/x
  3. Step 3: Cross multiply
    1,375.98x = 2,064.98 × 856.73
  4. Step 4: Simplify right side
    1,375.98x = 1,769,130.32
  5. Step 5: Solve for x
    x = 1,769,130.32/1,375.98
  6. Step 6: Final answer
    x = 1,285.72

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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.