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Finding the Fourth Proportional to 675.93, 1,014.21 and 285.87

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Solution

The fourth proportional to 675.93, 1,014.21 and 285.87 is: 428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.93 : 1,014.21 = 285.87 : x
  2. Step 2: Convert to fraction form
    675.93/1,014.21 = 285.87/x
  3. Step 3: Cross multiply
    675.93x = 1,014.21 × 285.87
  4. Step 4: Simplify right side
    675.93x = 289,932.21
  5. Step 5: Solve for x
    x = 289,932.21/675.93
  6. Step 6: Final answer
    x = 428.94

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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.