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Finding the Fourth Proportional to 675.24, 1,012.77 and 213

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Solution

The fourth proportional to 675.24, 1,012.77 and 213 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 1,012.77 = 213 : x
  2. Step 2: Convert to fraction form
    675.24/1,012.77 = 213/x
  3. Step 3: Cross multiply
    675.24x = 1,012.77 × 213
  4. Step 4: Simplify right side
    675.24x = 215,720.01
  5. Step 5: Solve for x
    x = 215,720.01/675.24
  6. Step 6: Final answer
    x = 319.47

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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.