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Finding the Fourth Proportional to 877.85, 1,211.28 and 504.80

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Solution

The fourth proportional to 877.85, 1,211.28 and 504.80 is: 696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.85 : 1,211.28 = 504.80 : x
  2. Step 2: Convert to fraction form
    877.85/1,211.28 = 504.80/x
  3. Step 3: Cross multiply
    877.85x = 1,211.28 × 504.80
  4. Step 4: Simplify right side
    877.85x = 611,448.09
  5. Step 5: Solve for x
    x = 611,448.09/877.85
  6. Step 6: Final answer
    x = 696.53

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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.