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Finding the Fourth Proportional to 856.45, 1,181.89 and 507.13

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Solution

The fourth proportional to 856.45, 1,181.89 and 507.13 is: 699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.45 : 1,181.89 = 507.13 : x
  2. Step 2: Convert to fraction form
    856.45/1,181.89 = 507.13/x
  3. Step 3: Cross multiply
    856.45x = 1,181.89 × 507.13
  4. Step 4: Simplify right side
    856.45x = 599,371.88
  5. Step 5: Solve for x
    x = 599,371.88/856.45
  6. Step 6: Final answer
    x = 699.83

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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.