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Finding the Fourth Proportional to 771.59, 1,157.29 and 284.28

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Solution

The fourth proportional to 771.59, 1,157.29 and 284.28 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,157.29 = 284.28 : x
  2. Step 2: Convert to fraction form
    771.59/1,157.29 = 284.28/x
  3. Step 3: Cross multiply
    771.59x = 1,157.29 × 284.28
  4. Step 4: Simplify right side
    771.59x = 328,989.35
  5. Step 5: Solve for x
    x = 328,989.35/771.59
  6. Step 6: Final answer
    x = 426.38

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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.