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Finding the Fourth Proportional to 1,492.45, 2,059.59 and 829.36

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Solution

The fourth proportional to 1,492.45, 2,059.59 and 829.36 is: 1,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.45 : 2,059.59 = 829.36 : x
  2. Step 2: Convert to fraction form
    1,492.45/2,059.59 = 829.36/x
  3. Step 3: Cross multiply
    1,492.45x = 2,059.59 × 829.36
  4. Step 4: Simplify right side
    1,492.45x = 1,708,141.56
  5. Step 5: Solve for x
    x = 1,708,141.56/1,492.45
  6. Step 6: Final answer
    x = 1,144.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.