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Finding the Fourth Proportional to 856.55, 1,181.92 and 524.99

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Solution

The fourth proportional to 856.55, 1,181.92 and 524.99 is: 724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.55 : 1,181.92 = 524.99 : x
  2. Step 2: Convert to fraction form
    856.55/1,181.92 = 524.99/x
  3. Step 3: Cross multiply
    856.55x = 1,181.92 × 524.99
  4. Step 4: Simplify right side
    856.55x = 620,496.18
  5. Step 5: Solve for x
    x = 620,496.18/856.55
  6. Step 6: Final answer
    x = 724.41

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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.