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Finding the Fourth Proportional to 856.82, 1,285.50 and 610.58

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Solution

The fourth proportional to 856.82, 1,285.50 and 610.58 is: 916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.82 : 1,285.50 = 610.58 : x
  2. Step 2: Convert to fraction form
    856.82/1,285.50 = 610.58/x
  3. Step 3: Cross multiply
    856.82x = 1,285.50 × 610.58
  4. Step 4: Simplify right side
    856.82x = 784,900.59
  5. Step 5: Solve for x
    x = 784,900.59/856.82
  6. Step 6: Final answer
    x = 916.06

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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.