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Finding the Fourth Proportional to 1,039.02, 1,556.73 and 856.14

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Solution

The fourth proportional to 1,039.02, 1,556.73 and 856.14 is: 1,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.02 : 1,556.73 = 856.14 : x
  2. Step 2: Convert to fraction form
    1,039.02/1,556.73 = 856.14/x
  3. Step 3: Cross multiply
    1,039.02x = 1,556.73 × 856.14
  4. Step 4: Simplify right side
    1,039.02x = 1,332,778.82
  5. Step 5: Solve for x
    x = 1,332,778.82/1,039.02
  6. Step 6: Final answer
    x = 1,282.73

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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.