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Finding the Fourth Proportional to 780.41, 1,171.15 and 415.45

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Solution

The fourth proportional to 780.41, 1,171.15 and 415.45 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.41 : 1,171.15 = 415.45 : x
  2. Step 2: Convert to fraction form
    780.41/1,171.15 = 415.45/x
  3. Step 3: Cross multiply
    780.41x = 1,171.15 × 415.45
  4. Step 4: Simplify right side
    780.41x = 486,557.40
  5. Step 5: Solve for x
    x = 486,557.40/780.41
  6. Step 6: Final answer
    x = 623.46

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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.