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Finding the Fourth Proportional to 1,554.24, 2,331.54 and 514.33

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Solution

The fourth proportional to 1,554.24, 2,331.54 and 514.33 is: 771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.24 : 2,331.54 = 514.33 : x
  2. Step 2: Convert to fraction form
    1,554.24/2,331.54 = 514.33/x
  3. Step 3: Cross multiply
    1,554.24x = 2,331.54 × 514.33
  4. Step 4: Simplify right side
    1,554.24x = 1,199,180.97
  5. Step 5: Solve for x
    x = 1,199,180.97/1,554.24
  6. Step 6: Final answer
    x = 771.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.