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Finding the Fourth Proportional to 771.06, 1,157.07 and 284.15

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Solution

The fourth proportional to 771.06, 1,157.07 and 284.15 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,157.07 = 284.15 : x
  2. Step 2: Convert to fraction form
    771.06/1,157.07 = 284.15/x
  3. Step 3: Cross multiply
    771.06x = 1,157.07 × 284.15
  4. Step 4: Simplify right side
    771.06x = 328,781.44
  5. Step 5: Solve for x
    x = 328,781.44/771.06
  6. Step 6: Final answer
    x = 426.40

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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.