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Finding the Fourth Proportional to 771.78, 1,156.25 and 424.59

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Solution

The fourth proportional to 771.78, 1,156.25 and 424.59 is: 636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.78 : 1,156.25 = 424.59 : x
  2. Step 2: Convert to fraction form
    771.78/1,156.25 = 424.59/x
  3. Step 3: Cross multiply
    771.78x = 1,156.25 × 424.59
  4. Step 4: Simplify right side
    771.78x = 490,930.06
  5. Step 5: Solve for x
    x = 490,930.06/771.78
  6. Step 6: Final answer
    x = 636.10

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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.