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Finding the Fourth Proportional to 1,311.26, 1,967.53 and 824.54

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Solution

The fourth proportional to 1,311.26, 1,967.53 and 824.54 is: 1,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.26 : 1,967.53 = 824.54 : x
  2. Step 2: Convert to fraction form
    1,311.26/1,967.53 = 824.54/x
  3. Step 3: Cross multiply
    1,311.26x = 1,967.53 × 824.54
  4. Step 4: Simplify right side
    1,311.26x = 1,622,307.19
  5. Step 5: Solve for x
    x = 1,622,307.19/1,311.26
  6. Step 6: Final answer
    x = 1,237.21

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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.