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Finding the Fourth Proportional to 877.78, 1,316.67 and 228.57

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Solution

The fourth proportional to 877.78, 1,316.67 and 228.57 is: 342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.78 : 1,316.67 = 228.57 : x
  2. Step 2: Convert to fraction form
    877.78/1,316.67 = 228.57/x
  3. Step 3: Cross multiply
    877.78x = 1,316.67 × 228.57
  4. Step 4: Simplify right side
    877.78x = 300,951.26
  5. Step 5: Solve for x
    x = 300,951.26/877.78
  6. Step 6: Final answer
    x = 342.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.