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Finding the Fourth Proportional to 1,205.70, 1,807.56 and 512.91

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Solution

The fourth proportional to 1,205.70, 1,807.56 and 512.91 is: 768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.70 : 1,807.56 = 512.91 : x
  2. Step 2: Convert to fraction form
    1,205.70/1,807.56 = 512.91/x
  3. Step 3: Cross multiply
    1,205.70x = 1,807.56 × 512.91
  4. Step 4: Simplify right side
    1,205.70x = 927,115.60
  5. Step 5: Solve for x
    x = 927,115.60/1,205.70
  6. Step 6: Final answer
    x = 768.94

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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.