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Finding the Fourth Proportional to 771.10, 1,157.26 and 463.30

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Solution

The fourth proportional to 771.10, 1,157.26 and 463.30 is: 695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.10 : 1,157.26 = 463.30 : x
  2. Step 2: Convert to fraction form
    771.10/1,157.26 = 463.30/x
  3. Step 3: Cross multiply
    771.10x = 1,157.26 × 463.30
  4. Step 4: Simplify right side
    771.10x = 536,158.56
  5. Step 5: Solve for x
    x = 536,158.56/771.10
  6. Step 6: Final answer
    x = 695.32

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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.