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Finding the Fourth Proportional to 1,223.56, 1,833.31 and 853.48

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Solution

The fourth proportional to 1,223.56, 1,833.31 and 853.48 is: 1,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.56 : 1,833.31 = 853.48 : x
  2. Step 2: Convert to fraction form
    1,223.56/1,833.31 = 853.48/x
  3. Step 3: Cross multiply
    1,223.56x = 1,833.31 × 853.48
  4. Step 4: Simplify right side
    1,223.56x = 1,564,693.42
  5. Step 5: Solve for x
    x = 1,564,693.42/1,223.56
  6. Step 6: Final answer
    x = 1,278.80

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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.