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Finding the Fourth Proportional to 1,492.35, 2,059.26 and 829.11

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Solution

The fourth proportional to 1,492.35, 2,059.26 and 829.11 is: 1,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.35 : 2,059.26 = 829.11 : x
  2. Step 2: Convert to fraction form
    1,492.35/2,059.26 = 829.11/x
  3. Step 3: Cross multiply
    1,492.35x = 2,059.26 × 829.11
  4. Step 4: Simplify right side
    1,492.35x = 1,707,353.06
  5. Step 5: Solve for x
    x = 1,707,353.06/1,492.35
  6. Step 6: Final answer
    x = 1,144.07

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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.