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Finding the Fourth Proportional to 856.44, 1,180.98 and 635.04

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Solution

The fourth proportional to 856.44, 1,180.98 and 635.04 is: 875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,180.98 = 635.04 : x
  2. Step 2: Convert to fraction form
    856.44/1,180.98 = 635.04/x
  3. Step 3: Cross multiply
    856.44x = 1,180.98 × 635.04
  4. Step 4: Simplify right side
    856.44x = 749,969.54
  5. Step 5: Solve for x
    x = 749,969.54/856.44
  6. Step 6: Final answer
    x = 875.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.