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Finding the Fourth Proportional to 1,102.72, 1,522.95 and 856.99

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Solution

The fourth proportional to 1,102.72, 1,522.95 and 856.99 is: 1,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.72 : 1,522.95 = 856.99 : x
  2. Step 2: Convert to fraction form
    1,102.72/1,522.95 = 856.99/x
  3. Step 3: Cross multiply
    1,102.72x = 1,522.95 × 856.99
  4. Step 4: Simplify right side
    1,102.72x = 1,305,152.92
  5. Step 5: Solve for x
    x = 1,305,152.92/1,102.72
  6. Step 6: Final answer
    x = 1,183.58

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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.