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Finding the Fourth Proportional to 675.03, 1,012.25 and 285.20

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Solution

The fourth proportional to 675.03, 1,012.25 and 285.20 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.03 : 1,012.25 = 285.20 : x
  2. Step 2: Convert to fraction form
    675.03/1,012.25 = 285.20/x
  3. Step 3: Cross multiply
    675.03x = 1,012.25 × 285.20
  4. Step 4: Simplify right side
    675.03x = 288,696.94
  5. Step 5: Solve for x
    x = 288,696.94/675.03
  6. Step 6: Final answer
    x = 427.68

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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.