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Finding the Fourth Proportional to 1,138.07, 1,705.93 and 824.96

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Solution

The fourth proportional to 1,138.07, 1,705.93 and 824.96 is: 1,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.07 : 1,705.93 = 824.96 : x
  2. Step 2: Convert to fraction form
    1,138.07/1,705.93 = 824.96/x
  3. Step 3: Cross multiply
    1,138.07x = 1,705.93 × 824.96
  4. Step 4: Simplify right side
    1,138.07x = 1,407,311.36
  5. Step 5: Solve for x
    x = 1,407,311.36/1,138.07
  6. Step 6: Final answer
    x = 1,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.