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Finding the Fourth Proportional to 771.92, 1,157.67 and 284.70

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Solution

The fourth proportional to 771.92, 1,157.67 and 284.70 is: 426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,157.67 = 284.70 : x
  2. Step 2: Convert to fraction form
    771.92/1,157.67 = 284.70/x
  3. Step 3: Cross multiply
    771.92x = 1,157.67 × 284.70
  4. Step 4: Simplify right side
    771.92x = 329,588.65
  5. Step 5: Solve for x
    x = 329,588.65/771.92
  6. Step 6: Final answer
    x = 426.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.