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Finding the Fourth Proportional to 771.50, 1,157.25 and 315.50

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Solution

The fourth proportional to 771.50, 1,157.25 and 315.50 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,157.25 = 315.50 : x
  2. Step 2: Convert to fraction form
    771.50/1,157.25 = 315.50/x
  3. Step 3: Cross multiply
    771.50x = 1,157.25 × 315.50
  4. Step 4: Simplify right side
    771.50x = 365,112.38
  5. Step 5: Solve for x
    x = 365,112.38/771.50
  6. Step 6: Final answer
    x = 473.25

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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.