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Finding the Fourth Proportional to 856.56, 1,285.22 and 783.64

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Solution

The fourth proportional to 856.56, 1,285.22 and 783.64 is: 1,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.56 : 1,285.22 = 783.64 : x
  2. Step 2: Convert to fraction form
    856.56/1,285.22 = 783.64/x
  3. Step 3: Cross multiply
    856.56x = 1,285.22 × 783.64
  4. Step 4: Simplify right side
    856.56x = 1,007,149.80
  5. Step 5: Solve for x
    x = 1,007,149.80/856.56
  6. Step 6: Final answer
    x = 1,175.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.