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Finding the Fourth Proportional to 1,392.06, 2,087.37 and 514.35

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Solution

The fourth proportional to 1,392.06, 2,087.37 and 514.35 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.06 : 2,087.37 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,392.06/2,087.37 = 514.35/x
  3. Step 3: Cross multiply
    1,392.06x = 2,087.37 × 514.35
  4. Step 4: Simplify right side
    1,392.06x = 1,073,638.76
  5. Step 5: Solve for x
    x = 1,073,638.76/1,392.06
  6. Step 6: Final answer
    x = 771.26

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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.