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Finding the Fourth Proportional to 880.22, 1,322.18 and 555.82

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Solution

The fourth proportional to 880.22, 1,322.18 and 555.82 is: 834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.22 : 1,322.18 = 555.82 : x
  2. Step 2: Convert to fraction form
    880.22/1,322.18 = 555.82/x
  3. Step 3: Cross multiply
    880.22x = 1,322.18 × 555.82
  4. Step 4: Simplify right side
    880.22x = 734,894.09
  5. Step 5: Solve for x
    x = 734,894.09/880.22
  6. Step 6: Final answer
    x = 834.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.