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Finding the Fourth Proportional to 791.16, 1,185.02 and 574.26

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Solution

The fourth proportional to 791.16, 1,185.02 and 574.26 is: 860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.16 : 1,185.02 = 574.26 : x
  2. Step 2: Convert to fraction form
    791.16/1,185.02 = 574.26/x
  3. Step 3: Cross multiply
    791.16x = 1,185.02 × 574.26
  4. Step 4: Simplify right side
    791.16x = 680,509.59
  5. Step 5: Solve for x
    x = 680,509.59/791.16
  6. Step 6: Final answer
    x = 860.14

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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.