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Finding the Fourth Proportional to 771.48, 1,157.38 and 284.54

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Solution

The fourth proportional to 771.48, 1,157.38 and 284.54 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.48 : 1,157.38 = 284.54 : x
  2. Step 2: Convert to fraction form
    771.48/1,157.38 = 284.54/x
  3. Step 3: Cross multiply
    771.48x = 1,157.38 × 284.54
  4. Step 4: Simplify right side
    771.48x = 329,320.91
  5. Step 5: Solve for x
    x = 329,320.91/771.48
  6. Step 6: Final answer
    x = 426.87

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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.