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Finding the Fourth Proportional to 1,197.16, 1,652.24 and 673.29

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Solution

The fourth proportional to 1,197.16, 1,652.24 and 673.29 is: 929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.16 : 1,652.24 = 673.29 : x
  2. Step 2: Convert to fraction form
    1,197.16/1,652.24 = 673.29/x
  3. Step 3: Cross multiply
    1,197.16x = 1,652.24 × 673.29
  4. Step 4: Simplify right side
    1,197.16x = 1,112,433.30
  5. Step 5: Solve for x
    x = 1,112,433.30/1,197.16
  6. Step 6: Final answer
    x = 929.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.