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Finding the Fourth Proportional to 877.75, 1,211.78 and 583.42

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Solution

The fourth proportional to 877.75, 1,211.78 and 583.42 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.75 : 1,211.78 = 583.42 : x
  2. Step 2: Convert to fraction form
    877.75/1,211.78 = 583.42/x
  3. Step 3: Cross multiply
    877.75x = 1,211.78 × 583.42
  4. Step 4: Simplify right side
    877.75x = 706,976.69
  5. Step 5: Solve for x
    x = 706,976.69/877.75
  6. Step 6: Final answer
    x = 805.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.