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Finding the Fourth Proportional to 1,206.85, 1,810.46 and 513.52

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Solution

The fourth proportional to 1,206.85, 1,810.46 and 513.52 is: 770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.85 : 1,810.46 = 513.52 : x
  2. Step 2: Convert to fraction form
    1,206.85/1,810.46 = 513.52/x
  3. Step 3: Cross multiply
    1,206.85x = 1,810.46 × 513.52
  4. Step 4: Simplify right side
    1,206.85x = 929,700.33
  5. Step 5: Solve for x
    x = 929,700.33/1,206.85
  6. Step 6: Final answer
    x = 770.35

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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.