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Finding the Fourth Proportional to 1,197.14, 1,650.44 and 823.46

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Solution

The fourth proportional to 1,197.14, 1,650.44 and 823.46 is: 1,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.14 : 1,650.44 = 823.46 : x
  2. Step 2: Convert to fraction form
    1,197.14/1,650.44 = 823.46/x
  3. Step 3: Cross multiply
    1,197.14x = 1,650.44 × 823.46
  4. Step 4: Simplify right side
    1,197.14x = 1,359,065.13
  5. Step 5: Solve for x
    x = 1,359,065.13/1,197.14
  6. Step 6: Final answer
    x = 1,135.26

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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.