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Finding the Fourth Proportional to 1,054.54, 1,580.34 and 822.37

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Solution

The fourth proportional to 1,054.54, 1,580.34 and 822.37 is: 1,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.54 : 1,580.34 = 822.37 : x
  2. Step 2: Convert to fraction form
    1,054.54/1,580.34 = 822.37/x
  3. Step 3: Cross multiply
    1,054.54x = 1,580.34 × 822.37
  4. Step 4: Simplify right side
    1,054.54x = 1,299,624.21
  5. Step 5: Solve for x
    x = 1,299,624.21/1,054.54
  6. Step 6: Final answer
    x = 1,232.41

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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.