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Finding the Fourth Proportional to 847.56, 1,271.39 and 353.91

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Solution

The fourth proportional to 847.56, 1,271.39 and 353.91 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.56 : 1,271.39 = 353.91 : x
  2. Step 2: Convert to fraction form
    847.56/1,271.39 = 353.91/x
  3. Step 3: Cross multiply
    847.56x = 1,271.39 × 353.91
  4. Step 4: Simplify right side
    847.56x = 449,960.63
  5. Step 5: Solve for x
    x = 449,960.63/847.56
  6. Step 6: Final answer
    x = 530.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.