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Finding the Fourth Proportional to 856.47, 1,181.99 and 524.81

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Solution

The fourth proportional to 856.47, 1,181.99 and 524.81 is: 724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,181.99 = 524.81 : x
  2. Step 2: Convert to fraction form
    856.47/1,181.99 = 524.81/x
  3. Step 3: Cross multiply
    856.47x = 1,181.99 × 524.81
  4. Step 4: Simplify right side
    856.47x = 620,324.44
  5. Step 5: Solve for x
    x = 620,324.44/856.47
  6. Step 6: Final answer
    x = 724.28

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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.