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Finding the Fourth Proportional to 1,195.42, 1,650.93 and 823.36

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Solution

The fourth proportional to 1,195.42, 1,650.93 and 823.36 is: 1,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.42 : 1,650.93 = 823.36 : x
  2. Step 2: Convert to fraction form
    1,195.42/1,650.93 = 823.36/x
  3. Step 3: Cross multiply
    1,195.42x = 1,650.93 × 823.36
  4. Step 4: Simplify right side
    1,195.42x = 1,359,309.72
  5. Step 5: Solve for x
    x = 1,359,309.72/1,195.42
  6. Step 6: Final answer
    x = 1,137.10

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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.