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Finding the Fourth Proportional to 675.94, 1,013.56 and 213.74

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Solution

The fourth proportional to 675.94, 1,013.56 and 213.74 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 1,013.56 = 213.74 : x
  2. Step 2: Convert to fraction form
    675.94/1,013.56 = 213.74/x
  3. Step 3: Cross multiply
    675.94x = 1,013.56 × 213.74
  4. Step 4: Simplify right side
    675.94x = 216,638.31
  5. Step 5: Solve for x
    x = 216,638.31/675.94
  6. Step 6: Final answer
    x = 320.50

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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.