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Finding the Fourth Proportional to 1,492.25, 2,238.73 and 518.45

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Solution

The fourth proportional to 1,492.25, 2,238.73 and 518.45 is: 777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.25 : 2,238.73 = 518.45 : x
  2. Step 2: Convert to fraction form
    1,492.25/2,238.73 = 518.45/x
  3. Step 3: Cross multiply
    1,492.25x = 2,238.73 × 518.45
  4. Step 4: Simplify right side
    1,492.25x = 1,160,657.08
  5. Step 5: Solve for x
    x = 1,160,657.08/1,492.25
  6. Step 6: Final answer
    x = 777.79

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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.