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Finding the Fourth Proportional to 1,492.53, 2,059.68 and 829.44

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Solution

The fourth proportional to 1,492.53, 2,059.68 and 829.44 is: 1,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.53 : 2,059.68 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,492.53/2,059.68 = 829.44/x
  3. Step 3: Cross multiply
    1,492.53x = 2,059.68 × 829.44
  4. Step 4: Simplify right side
    1,492.53x = 1,708,380.98
  5. Step 5: Solve for x
    x = 1,708,380.98/1,492.53
  6. Step 6: Final answer
    x = 1,144.62

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Why These Related Problems?

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