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Finding the Fourth Proportional to 771.04, 1,157.07 and 284.09

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Solution

The fourth proportional to 771.04, 1,157.07 and 284.09 is: 426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.04 : 1,157.07 = 284.09 : x
  2. Step 2: Convert to fraction form
    771.04/1,157.07 = 284.09/x
  3. Step 3: Cross multiply
    771.04x = 1,157.07 × 284.09
  4. Step 4: Simplify right side
    771.04x = 328,709.83
  5. Step 5: Solve for x
    x = 328,709.83/771.04
  6. Step 6: Final answer
    x = 426.32

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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.