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Finding the Fourth Proportional to 1,254.16, 1,880.12 and 791.60

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Solution

The fourth proportional to 1,254.16, 1,880.12 and 791.60 is: 1,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.16 : 1,880.12 = 791.60 : x
  2. Step 2: Convert to fraction form
    1,254.16/1,880.12 = 791.60/x
  3. Step 3: Cross multiply
    1,254.16x = 1,880.12 × 791.60
  4. Step 4: Simplify right side
    1,254.16x = 1,488,302.99
  5. Step 5: Solve for x
    x = 1,488,302.99/1,254.16
  6. Step 6: Final answer
    x = 1,186.69

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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.