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Finding the Fourth Proportional to 1,492.34, 2,059.42 and 829.20

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Solution

The fourth proportional to 1,492.34, 2,059.42 and 829.20 is: 1,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.34 : 2,059.42 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,492.34/2,059.42 = 829.20/x
  3. Step 3: Cross multiply
    1,492.34x = 2,059.42 × 829.20
  4. Step 4: Simplify right side
    1,492.34x = 1,707,671.06
  5. Step 5: Solve for x
    x = 1,707,671.06/1,492.34
  6. Step 6: Final answer
    x = 1,144.29

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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.