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Finding the Fourth Proportional to 847.54, 1,271.13 and 299.74

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Solution

The fourth proportional to 847.54, 1,271.13 and 299.74 is: 449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.54 : 1,271.13 = 299.74 : x
  2. Step 2: Convert to fraction form
    847.54/1,271.13 = 299.74/x
  3. Step 3: Cross multiply
    847.54x = 1,271.13 × 299.74
  4. Step 4: Simplify right side
    847.54x = 381,002.15
  5. Step 5: Solve for x
    x = 381,002.15/847.54
  6. Step 6: Final answer
    x = 449.54

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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.