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Finding the Fourth Proportional to 1,197.78, 1,652.94 and 673.80

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Solution

The fourth proportional to 1,197.78, 1,652.94 and 673.80 is: 929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.78 : 1,652.94 = 673.80 : x
  2. Step 2: Convert to fraction form
    1,197.78/1,652.94 = 673.80/x
  3. Step 3: Cross multiply
    1,197.78x = 1,652.94 × 673.80
  4. Step 4: Simplify right side
    1,197.78x = 1,113,750.97
  5. Step 5: Solve for x
    x = 1,113,750.97/1,197.78
  6. Step 6: Final answer
    x = 929.85

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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.