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Finding the Fourth Proportional to 771.79, 1,157.88 and 224.01

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Solution

The fourth proportional to 771.79, 1,157.88 and 224.01 is: 336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.79 : 1,157.88 = 224.01 : x
  2. Step 2: Convert to fraction form
    771.79/1,157.88 = 224.01/x
  3. Step 3: Cross multiply
    771.79x = 1,157.88 × 224.01
  4. Step 4: Simplify right side
    771.79x = 259,381.88
  5. Step 5: Solve for x
    x = 259,381.88/771.79
  6. Step 6: Final answer
    x = 336.08

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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.