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Finding the Fourth Proportional to 780.79, 1,171.34 and 342.04

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Solution

The fourth proportional to 780.79, 1,171.34 and 342.04 is: 513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.79 : 1,171.34 = 342.04 : x
  2. Step 2: Convert to fraction form
    780.79/1,171.34 = 342.04/x
  3. Step 3: Cross multiply
    780.79x = 1,171.34 × 342.04
  4. Step 4: Simplify right side
    780.79x = 400,645.13
  5. Step 5: Solve for x
    x = 400,645.13/780.79
  6. Step 6: Final answer
    x = 513.13

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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.