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Finding the Fourth Proportional to 1,223.14, 1,835.60 and 982.56

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Solution

The fourth proportional to 1,223.14, 1,835.60 and 982.56 is: 1,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.14 : 1,835.60 = 982.56 : x
  2. Step 2: Convert to fraction form
    1,223.14/1,835.60 = 982.56/x
  3. Step 3: Cross multiply
    1,223.14x = 1,835.60 × 982.56
  4. Step 4: Simplify right side
    1,223.14x = 1,803,587.14
  5. Step 5: Solve for x
    x = 1,803,587.14/1,223.14
  6. Step 6: Final answer
    x = 1,474.55

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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.