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Finding the Fourth Proportional to 780.62, 1,171.43 and 415.66

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Solution

The fourth proportional to 780.62, 1,171.43 and 415.66 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.62 : 1,171.43 = 415.66 : x
  2. Step 2: Convert to fraction form
    780.62/1,171.43 = 415.66/x
  3. Step 3: Cross multiply
    780.62x = 1,171.43 × 415.66
  4. Step 4: Simplify right side
    780.62x = 486,916.59
  5. Step 5: Solve for x
    x = 486,916.59/780.62
  6. Step 6: Final answer
    x = 623.76

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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.