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Finding the Fourth Proportional to 1,492.14, 2,059.16 and 829.00

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Solution

The fourth proportional to 1,492.14, 2,059.16 and 829.00 is: 1,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.14 : 2,059.16 = 829.00 : x
  2. Step 2: Convert to fraction form
    1,492.14/2,059.16 = 829.00/x
  3. Step 3: Cross multiply
    1,492.14x = 2,059.16 × 829.00
  4. Step 4: Simplify right side
    1,492.14x = 1,707,034.35
  5. Step 5: Solve for x
    x = 1,707,034.35/1,492.14
  6. Step 6: Final answer
    x = 1,144.02

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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.