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Finding the Fourth Proportional to 1,206.52, 1,808.36 and 512.98

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Solution

The fourth proportional to 1,206.52, 1,808.36 and 512.98 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.52 : 1,808.36 = 512.98 : x
  2. Step 2: Convert to fraction form
    1,206.52/1,808.36 = 512.98/x
  3. Step 3: Cross multiply
    1,206.52x = 1,808.36 × 512.98
  4. Step 4: Simplify right side
    1,206.52x = 927,652.51
  5. Step 5: Solve for x
    x = 927,652.51/1,206.52
  6. Step 6: Final answer
    x = 768.87

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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.