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Finding the Fourth Proportional to 877.56, 1,211.53 and 608.77

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Solution

The fourth proportional to 877.56, 1,211.53 and 608.77 is: 840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.56 : 1,211.53 = 608.77 : x
  2. Step 2: Convert to fraction form
    877.56/1,211.53 = 608.77/x
  3. Step 3: Cross multiply
    877.56x = 1,211.53 × 608.77
  4. Step 4: Simplify right side
    877.56x = 737,535.30
  5. Step 5: Solve for x
    x = 737,535.30/877.56
  6. Step 6: Final answer
    x = 840.44

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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.