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Finding the Fourth Proportional to 851.85, 1,277.57 and 577.87

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Solution

The fourth proportional to 851.85, 1,277.57 and 577.87 is: 866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.85 : 1,277.57 = 577.87 : x
  2. Step 2: Convert to fraction form
    851.85/1,277.57 = 577.87/x
  3. Step 3: Cross multiply
    851.85x = 1,277.57 × 577.87
  4. Step 4: Simplify right side
    851.85x = 738,267.63
  5. Step 5: Solve for x
    x = 738,267.63/851.85
  6. Step 6: Final answer
    x = 866.66

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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.