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Finding the Fourth Proportional to 851.30, 1,277.19 and 486.35

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Solution

The fourth proportional to 851.30, 1,277.19 and 486.35 is: 729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,277.19 = 486.35 : x
  2. Step 2: Convert to fraction form
    851.30/1,277.19 = 486.35/x
  3. Step 3: Cross multiply
    851.30x = 1,277.19 × 486.35
  4. Step 4: Simplify right side
    851.30x = 621,161.36
  5. Step 5: Solve for x
    x = 621,161.36/851.30
  6. Step 6: Final answer
    x = 729.66

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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.