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Finding the Fourth Proportional to 675.89, 1,013.51 and 285.78

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Solution

The fourth proportional to 675.89, 1,013.51 and 285.78 is: 428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.89 : 1,013.51 = 285.78 : x
  2. Step 2: Convert to fraction form
    675.89/1,013.51 = 285.78/x
  3. Step 3: Cross multiply
    675.89x = 1,013.51 × 285.78
  4. Step 4: Simplify right side
    675.89x = 289,640.89
  5. Step 5: Solve for x
    x = 289,640.89/675.89
  6. Step 6: Final answer
    x = 428.53

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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.