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Finding the Fourth Proportional to 675.21, 1,013.36 and 401.52

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Solution

The fourth proportional to 675.21, 1,013.36 and 401.52 is: 602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.21 : 1,013.36 = 401.52 : x
  2. Step 2: Convert to fraction form
    675.21/1,013.36 = 401.52/x
  3. Step 3: Cross multiply
    675.21x = 1,013.36 × 401.52
  4. Step 4: Simplify right side
    675.21x = 406,882.30
  5. Step 5: Solve for x
    x = 406,882.30/675.21
  6. Step 6: Final answer
    x = 602.60

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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.