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Finding the Fourth Proportional to 1,271.16, 1,906.64 and 902.56

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Solution

The fourth proportional to 1,271.16, 1,906.64 and 902.56 is: 1,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.16 : 1,906.64 = 902.56 : x
  2. Step 2: Convert to fraction form
    1,271.16/1,906.64 = 902.56/x
  3. Step 3: Cross multiply
    1,271.16x = 1,906.64 × 902.56
  4. Step 4: Simplify right side
    1,271.16x = 1,720,846.63
  5. Step 5: Solve for x
    x = 1,720,846.63/1,271.16
  6. Step 6: Final answer
    x = 1,353.77

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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.