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Finding the Fourth Proportional to 847.37, 1,271.63 and 299.55

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Solution

The fourth proportional to 847.37, 1,271.63 and 299.55 is: 449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.37 : 1,271.63 = 299.55 : x
  2. Step 2: Convert to fraction form
    847.37/1,271.63 = 299.55/x
  3. Step 3: Cross multiply
    847.37x = 1,271.63 × 299.55
  4. Step 4: Simplify right side
    847.37x = 380,916.77
  5. Step 5: Solve for x
    x = 380,916.77/847.37
  6. Step 6: Final answer
    x = 449.53

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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.