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Finding the Fourth Proportional to 675.68, 1,013.19 and 285.86

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Solution

The fourth proportional to 675.68, 1,013.19 and 285.86 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 1,013.19 = 285.86 : x
  2. Step 2: Convert to fraction form
    675.68/1,013.19 = 285.86/x
  3. Step 3: Cross multiply
    675.68x = 1,013.19 × 285.86
  4. Step 4: Simplify right side
    675.68x = 289,625.43
  5. Step 5: Solve for x
    x = 289,625.43/675.68
  6. Step 6: Final answer
    x = 428.65

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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.