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Finding the Fourth Proportional to 851.30, 1,277.49 and 775.70

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Solution

The fourth proportional to 851.30, 1,277.49 and 775.70 is: 1,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,277.49 = 775.70 : x
  2. Step 2: Convert to fraction form
    851.30/1,277.49 = 775.70/x
  3. Step 3: Cross multiply
    851.30x = 1,277.49 × 775.70
  4. Step 4: Simplify right side
    851.30x = 990,948.99
  5. Step 5: Solve for x
    x = 990,948.99/851.30
  6. Step 6: Final answer
    x = 1,164.04

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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.