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Finding the Fourth Proportional to 780.63, 1,171.29 and 415.33

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Solution

The fourth proportional to 780.63, 1,171.29 and 415.33 is: 623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.63 : 1,171.29 = 415.33 : x
  2. Step 2: Convert to fraction form
    780.63/1,171.29 = 415.33/x
  3. Step 3: Cross multiply
    780.63x = 1,171.29 × 415.33
  4. Step 4: Simplify right side
    780.63x = 486,471.88
  5. Step 5: Solve for x
    x = 486,471.88/780.63
  6. Step 6: Final answer
    x = 623.18

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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.