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Finding the Fourth Proportional to 946.73, 1,420.09 and 391.30

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Solution

The fourth proportional to 946.73, 1,420.09 and 391.30 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.73 : 1,420.09 = 391.30 : x
  2. Step 2: Convert to fraction form
    946.73/1,420.09 = 391.30/x
  3. Step 3: Cross multiply
    946.73x = 1,420.09 × 391.30
  4. Step 4: Simplify right side
    946.73x = 555,676.69
  5. Step 5: Solve for x
    x = 555,676.69/946.73
  6. Step 6: Final answer
    x = 586.94

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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.