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Finding the Fourth Proportional to 771.66, 1,157.58 and 285.30

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Solution

The fourth proportional to 771.66, 1,157.58 and 285.30 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,157.58 = 285.30 : x
  2. Step 2: Convert to fraction form
    771.66/1,157.58 = 285.30/x
  3. Step 3: Cross multiply
    771.66x = 1,157.58 × 285.30
  4. Step 4: Simplify right side
    771.66x = 330,257.57
  5. Step 5: Solve for x
    x = 330,257.57/771.66
  6. Step 6: Final answer
    x = 427.98

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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.