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Finding the Fourth Proportional to 790.25, 1,182.83 and 512.75

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Solution

The fourth proportional to 790.25, 1,182.83 and 512.75 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.25 : 1,182.83 = 512.75 : x
  2. Step 2: Convert to fraction form
    790.25/1,182.83 = 512.75/x
  3. Step 3: Cross multiply
    790.25x = 1,182.83 × 512.75
  4. Step 4: Simplify right side
    790.25x = 606,487.60
  5. Step 5: Solve for x
    x = 606,487.60/790.25
  6. Step 6: Final answer
    x = 767.47

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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.