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Finding the Fourth Proportional to 880.47, 1,214.07 and 600.75

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Solution

The fourth proportional to 880.47, 1,214.07 and 600.75 is: 828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,214.07 = 600.75 : x
  2. Step 2: Convert to fraction form
    880.47/1,214.07 = 600.75/x
  3. Step 3: Cross multiply
    880.47x = 1,214.07 × 600.75
  4. Step 4: Simplify right side
    880.47x = 729,352.55
  5. Step 5: Solve for x
    x = 729,352.55/880.47
  6. Step 6: Final answer
    x = 828.37

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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.