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Finding the Fourth Proportional to 877.82, 1,211.36 and 479.43

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Solution

The fourth proportional to 877.82, 1,211.36 and 479.43 is: 661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.82 : 1,211.36 = 479.43 : x
  2. Step 2: Convert to fraction form
    877.82/1,211.36 = 479.43/x
  3. Step 3: Cross multiply
    877.82x = 1,211.36 × 479.43
  4. Step 4: Simplify right side
    877.82x = 580,759.93
  5. Step 5: Solve for x
    x = 580,759.93/877.82
  6. Step 6: Final answer
    x = 661.60

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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.