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Finding the Fourth Proportional to 1,197.86, 1,653.62 and 931.77

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Solution

The fourth proportional to 1,197.86, 1,653.62 and 931.77 is: 1,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.86 : 1,653.62 = 931.77 : x
  2. Step 2: Convert to fraction form
    1,197.86/1,653.62 = 931.77/x
  3. Step 3: Cross multiply
    1,197.86x = 1,653.62 × 931.77
  4. Step 4: Simplify right side
    1,197.86x = 1,540,788.85
  5. Step 5: Solve for x
    x = 1,540,788.85/1,197.86
  6. Step 6: Final answer
    x = 1,286.29

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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.