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Finding the Fourth Proportional to 771.70, 1,157.54 and 442.84

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Solution

The fourth proportional to 771.70, 1,157.54 and 442.84 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.70 : 1,157.54 = 442.84 : x
  2. Step 2: Convert to fraction form
    771.70/1,157.54 = 442.84/x
  3. Step 3: Cross multiply
    771.70x = 1,157.54 × 442.84
  4. Step 4: Simplify right side
    771.70x = 512,605.01
  5. Step 5: Solve for x
    x = 512,605.01/771.70
  6. Step 6: Final answer
    x = 664.25

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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.