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Finding the Fourth Proportional to 1,145.61, 1,580.13 and 791.64

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Solution

The fourth proportional to 1,145.61, 1,580.13 and 791.64 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.61 : 1,580.13 = 791.64 : x
  2. Step 2: Convert to fraction form
    1,145.61/1,580.13 = 791.64/x
  3. Step 3: Cross multiply
    1,145.61x = 1,580.13 × 791.64
  4. Step 4: Simplify right side
    1,145.61x = 1,250,894.11
  5. Step 5: Solve for x
    x = 1,250,894.11/1,145.61
  6. Step 6: Final answer
    x = 1,091.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.