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Finding the Fourth Proportional to 1,206.47, 1,808.69 and 513.68

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Solution

The fourth proportional to 1,206.47, 1,808.69 and 513.68 is: 770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.47 : 1,808.69 = 513.68 : x
  2. Step 2: Convert to fraction form
    1,206.47/1,808.69 = 513.68/x
  3. Step 3: Cross multiply
    1,206.47x = 1,808.69 × 513.68
  4. Step 4: Simplify right side
    1,206.47x = 929,076.27
  5. Step 5: Solve for x
    x = 929,076.27/1,206.47
  6. Step 6: Final answer
    x = 770.08

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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.