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Finding the Fourth Proportional to 771.84, 1,157.60 and 258.72

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Solution

The fourth proportional to 771.84, 1,157.60 and 258.72 is: 388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,157.60 = 258.72 : x
  2. Step 2: Convert to fraction form
    771.84/1,157.60 = 258.72/x
  3. Step 3: Cross multiply
    771.84x = 1,157.60 × 258.72
  4. Step 4: Simplify right side
    771.84x = 299,494.27
  5. Step 5: Solve for x
    x = 299,494.27/771.84
  6. Step 6: Final answer
    x = 388.03

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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.