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Finding the Fourth Proportional to 771.95, 1,157.28 and 625.34

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Solution

The fourth proportional to 771.95, 1,157.28 and 625.34 is: 937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.95 : 1,157.28 = 625.34 : x
  2. Step 2: Convert to fraction form
    771.95/1,157.28 = 625.34/x
  3. Step 3: Cross multiply
    771.95x = 1,157.28 × 625.34
  4. Step 4: Simplify right side
    771.95x = 723,686.20
  5. Step 5: Solve for x
    x = 723,686.20/771.95
  6. Step 6: Final answer
    x = 937.48

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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.