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Finding the Fourth Proportional to 1,179.06, 1,626.64 and 824.89

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Solution

The fourth proportional to 1,179.06, 1,626.64 and 824.89 is: 1,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.06 : 1,626.64 = 824.89 : x
  2. Step 2: Convert to fraction form
    1,179.06/1,626.64 = 824.89/x
  3. Step 3: Cross multiply
    1,179.06x = 1,626.64 × 824.89
  4. Step 4: Simplify right side
    1,179.06x = 1,341,797.01
  5. Step 5: Solve for x
    x = 1,341,797.01/1,179.06
  6. Step 6: Final answer
    x = 1,138.02

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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.