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Finding the Fourth Proportional to 1,205.51, 1,808.00 and 512.56

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Solution

The fourth proportional to 1,205.51, 1,808.00 and 512.56 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.51 : 1,808.00 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,205.51/1,808.00 = 512.56/x
  3. Step 3: Cross multiply
    1,205.51x = 1,808.00 × 512.56
  4. Step 4: Simplify right side
    1,205.51x = 926,696.88
  5. Step 5: Solve for x
    x = 926,696.88/1,205.51
  6. Step 6: Final answer
    x = 768.72

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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.