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Finding the Fourth Proportional to 1,209.98, 1,813.34 and 770.54

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Solution

The fourth proportional to 1,209.98, 1,813.34 and 770.54 is: 1,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.98 : 1,813.34 = 770.54 : x
  2. Step 2: Convert to fraction form
    1,209.98/1,813.34 = 770.54/x
  3. Step 3: Cross multiply
    1,209.98x = 1,813.34 × 770.54
  4. Step 4: Simplify right side
    1,209.98x = 1,397,243.86
  5. Step 5: Solve for x
    x = 1,397,243.86/1,209.98
  6. Step 6: Final answer
    x = 1,154.76

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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.