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Finding the Fourth Proportional to 1,554.25, 2,331.53 and 514.25

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Solution

The fourth proportional to 1,554.25, 2,331.53 and 514.25 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.25 : 2,331.53 = 514.25 : x
  2. Step 2: Convert to fraction form
    1,554.25/2,331.53 = 514.25/x
  3. Step 3: Cross multiply
    1,554.25x = 2,331.53 × 514.25
  4. Step 4: Simplify right side
    1,554.25x = 1,198,989.30
  5. Step 5: Solve for x
    x = 1,198,989.30/1,554.25
  6. Step 6: Final answer
    x = 771.43

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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.