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Finding the Fourth Proportional to 880.09, 1,319.32 and 418.09

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Solution

The fourth proportional to 880.09, 1,319.32 and 418.09 is: 626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,319.32 = 418.09 : x
  2. Step 2: Convert to fraction form
    880.09/1,319.32 = 418.09/x
  3. Step 3: Cross multiply
    880.09x = 1,319.32 × 418.09
  4. Step 4: Simplify right side
    880.09x = 551,587.90
  5. Step 5: Solve for x
    x = 551,587.90/880.09
  6. Step 6: Final answer
    x = 626.74

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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.