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Finding the Fourth Proportional to 771.63, 1,156.65 and 424.26

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Solution

The fourth proportional to 771.63, 1,156.65 and 424.26 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.63 : 1,156.65 = 424.26 : x
  2. Step 2: Convert to fraction form
    771.63/1,156.65 = 424.26/x
  3. Step 3: Cross multiply
    771.63x = 1,156.65 × 424.26
  4. Step 4: Simplify right side
    771.63x = 490,720.33
  5. Step 5: Solve for x
    x = 490,720.33/771.63
  6. Step 6: Final answer
    x = 635.95

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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.