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Finding the Fourth Proportional to 1,197.94, 1,653.16 and 673.97

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Solution

The fourth proportional to 1,197.94, 1,653.16 and 673.97 is: 930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.94 : 1,653.16 = 673.97 : x
  2. Step 2: Convert to fraction form
    1,197.94/1,653.16 = 673.97/x
  3. Step 3: Cross multiply
    1,197.94x = 1,653.16 × 673.97
  4. Step 4: Simplify right side
    1,197.94x = 1,114,184.38
  5. Step 5: Solve for x
    x = 1,114,184.38/1,197.94
  6. Step 6: Final answer
    x = 930.08

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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.