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Finding the Fourth Proportional to 1,227.75, 1,840.59 and 533.89

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Solution

The fourth proportional to 1,227.75, 1,840.59 and 533.89 is: 800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.75 : 1,840.59 = 533.89 : x
  2. Step 2: Convert to fraction form
    1,227.75/1,840.59 = 533.89/x
  3. Step 3: Cross multiply
    1,227.75x = 1,840.59 × 533.89
  4. Step 4: Simplify right side
    1,227.75x = 982,672.60
  5. Step 5: Solve for x
    x = 982,672.60/1,227.75
  6. Step 6: Final answer
    x = 800.38

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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.