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Finding the Fourth Proportional to 856.91, 1,183.68 and 656.53

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Solution

The fourth proportional to 856.91, 1,183.68 and 656.53 is: 906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.91 : 1,183.68 = 656.53 : x
  2. Step 2: Convert to fraction form
    856.91/1,183.68 = 656.53/x
  3. Step 3: Cross multiply
    856.91x = 1,183.68 × 656.53
  4. Step 4: Simplify right side
    856.91x = 777,118.47
  5. Step 5: Solve for x
    x = 777,118.47/856.91
  6. Step 6: Final answer
    x = 906.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.