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Finding the Fourth Proportional to 771.50, 1,064.94 and 461

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Solution

The fourth proportional to 771.50, 1,064.94 and 461 is: 636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,064.94 = 461 : x
  2. Step 2: Convert to fraction form
    771.50/1,064.94 = 461/x
  3. Step 3: Cross multiply
    771.50x = 1,064.94 × 461
  4. Step 4: Simplify right side
    771.50x = 490,937.34
  5. Step 5: Solve for x
    x = 490,937.34/771.50
  6. Step 6: Final answer
    x = 636.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.