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Finding the Fourth Proportional to 856.98, 1,183.22 and 647.60

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Solution

The fourth proportional to 856.98, 1,183.22 and 647.60 is: 894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,183.22 = 647.60 : x
  2. Step 2: Convert to fraction form
    856.98/1,183.22 = 647.60/x
  3. Step 3: Cross multiply
    856.98x = 1,183.22 × 647.60
  4. Step 4: Simplify right side
    856.98x = 766,244.12
  5. Step 5: Solve for x
    x = 766,244.12/856.98
  6. Step 6: Final answer
    x = 894.12

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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.