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Finding the Fourth Proportional to 856.46, 1,180.30 and 620.01

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Solution

The fourth proportional to 856.46, 1,180.30 and 620.01 is: 854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,180.30 = 620.01 : x
  2. Step 2: Convert to fraction form
    856.46/1,180.30 = 620.01/x
  3. Step 3: Cross multiply
    856.46x = 1,180.30 × 620.01
  4. Step 4: Simplify right side
    856.46x = 731,796.25
  5. Step 5: Solve for x
    x = 731,796.25/856.46
  6. Step 6: Final answer
    x = 854.44

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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.