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Finding the Fourth Proportional to 856.53, 1,181.01 and 591.11

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Solution

The fourth proportional to 856.53, 1,181.01 and 591.11 is: 815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.53 : 1,181.01 = 591.11 : x
  2. Step 2: Convert to fraction form
    856.53/1,181.01 = 591.11/x
  3. Step 3: Cross multiply
    856.53x = 1,181.01 × 591.11
  4. Step 4: Simplify right side
    856.53x = 698,107.56
  5. Step 5: Solve for x
    x = 698,107.56/856.53
  6. Step 6: Final answer
    x = 815.04

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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.