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Finding the Fourth Proportional to 1,492.78, 2,238.88 and 438.72

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Solution

The fourth proportional to 1,492.78, 2,238.88 and 438.72 is: 657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.78 : 2,238.88 = 438.72 : x
  2. Step 2: Convert to fraction form
    1,492.78/2,238.88 = 438.72/x
  3. Step 3: Cross multiply
    1,492.78x = 2,238.88 × 438.72
  4. Step 4: Simplify right side
    1,492.78x = 982,241.43
  5. Step 5: Solve for x
    x = 982,241.43/1,492.78
  6. Step 6: Final answer
    x = 657.99

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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.