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Finding the Fourth Proportional to 771.61, 1,157.05 and 258.25

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Solution

The fourth proportional to 771.61, 1,157.05 and 258.25 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.61 : 1,157.05 = 258.25 : x
  2. Step 2: Convert to fraction form
    771.61/1,157.05 = 258.25/x
  3. Step 3: Cross multiply
    771.61x = 1,157.05 × 258.25
  4. Step 4: Simplify right side
    771.61x = 298,808.16
  5. Step 5: Solve for x
    x = 298,808.16/771.61
  6. Step 6: Final answer
    x = 387.25

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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.