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Finding the Fourth Proportional to 1,492.26, 2,059.40 and 829.20

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Solution

The fourth proportional to 1,492.26, 2,059.40 and 829.20 is: 1,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.26 : 2,059.40 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,492.26/2,059.40 = 829.20/x
  3. Step 3: Cross multiply
    1,492.26x = 2,059.40 × 829.20
  4. Step 4: Simplify right side
    1,492.26x = 1,707,654.48
  5. Step 5: Solve for x
    x = 1,707,654.48/1,492.26
  6. Step 6: Final answer
    x = 1,144.34

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1.5x scale

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.