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Finding the Fourth Proportional to 1,102.22, 1,522.26 and 856.49

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Solution

The fourth proportional to 1,102.22, 1,522.26 and 856.49 is: 1,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.22 : 1,522.26 = 856.49 : x
  2. Step 2: Convert to fraction form
    1,102.22/1,522.26 = 856.49/x
  3. Step 3: Cross multiply
    1,102.22x = 1,522.26 × 856.49
  4. Step 4: Simplify right side
    1,102.22x = 1,303,792.86
  5. Step 5: Solve for x
    x = 1,303,792.86/1,102.22
  6. Step 6: Final answer
    x = 1,182.88

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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.