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Finding the Fourth Proportional to 675.54, 1,012.68 and 284.94

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Solution

The fourth proportional to 675.54, 1,012.68 and 284.94 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.54 : 1,012.68 = 284.94 : x
  2. Step 2: Convert to fraction form
    675.54/1,012.68 = 284.94/x
  3. Step 3: Cross multiply
    675.54x = 1,012.68 × 284.94
  4. Step 4: Simplify right side
    675.54x = 288,553.04
  5. Step 5: Solve for x
    x = 288,553.04/675.54
  6. Step 6: Final answer
    x = 427.14

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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.