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Finding the Fourth Proportional to 1,197.88, 1,653.17 and 673.99

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Solution

The fourth proportional to 1,197.88, 1,653.17 and 673.99 is: 930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.88 : 1,653.17 = 673.99 : x
  2. Step 2: Convert to fraction form
    1,197.88/1,653.17 = 673.99/x
  3. Step 3: Cross multiply
    1,197.88x = 1,653.17 × 673.99
  4. Step 4: Simplify right side
    1,197.88x = 1,114,220.05
  5. Step 5: Solve for x
    x = 1,114,220.05/1,197.88
  6. Step 6: Final answer
    x = 930.16

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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.