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Finding the Fourth Proportional to 780.94, 1,171.41 and 564.94

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Solution

The fourth proportional to 780.94, 1,171.41 and 564.94 is: 847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.94 : 1,171.41 = 564.94 : x
  2. Step 2: Convert to fraction form
    780.94/1,171.41 = 564.94/x
  3. Step 3: Cross multiply
    780.94x = 1,171.41 × 564.94
  4. Step 4: Simplify right side
    780.94x = 661,776.37
  5. Step 5: Solve for x
    x = 661,776.37/780.94
  6. Step 6: Final answer
    x = 847.41

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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.