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Finding the Fourth Proportional to 1,179.16, 1,627.46 and 682.12

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Solution

The fourth proportional to 1,179.16, 1,627.46 and 682.12 is: 941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.16 : 1,627.46 = 682.12 : x
  2. Step 2: Convert to fraction form
    1,179.16/1,627.46 = 682.12/x
  3. Step 3: Cross multiply
    1,179.16x = 1,627.46 × 682.12
  4. Step 4: Simplify right side
    1,179.16x = 1,110,123.02
  5. Step 5: Solve for x
    x = 1,110,123.02/1,179.16
  6. Step 6: Final answer
    x = 941.45

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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.