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Finding the Fourth Proportional to 780.74, 1,171.62 and 415.79

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Solution

The fourth proportional to 780.74, 1,171.62 and 415.79 is: 623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.74 : 1,171.62 = 415.79 : x
  2. Step 2: Convert to fraction form
    780.74/1,171.62 = 415.79/x
  3. Step 3: Cross multiply
    780.74x = 1,171.62 × 415.79
  4. Step 4: Simplify right side
    780.74x = 487,142.02
  5. Step 5: Solve for x
    x = 487,142.02/780.74
  6. Step 6: Final answer
    x = 623.95

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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.