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Finding the Fourth Proportional to 856.24, 1,181.66 and 483.38

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Solution

The fourth proportional to 856.24, 1,181.66 and 483.38 is: 667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.24 : 1,181.66 = 483.38 : x
  2. Step 2: Convert to fraction form
    856.24/1,181.66 = 483.38/x
  3. Step 3: Cross multiply
    856.24x = 1,181.66 × 483.38
  4. Step 4: Simplify right side
    856.24x = 571,190.81
  5. Step 5: Solve for x
    x = 571,190.81/856.24
  6. Step 6: Final answer
    x = 667.09

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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.