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Finding the Fourth Proportional to 1,492.88, 2,060.26 and 829.74

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Solution

The fourth proportional to 1,492.88, 2,060.26 and 829.74 is: 1,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.88 : 2,060.26 = 829.74 : x
  2. Step 2: Convert to fraction form
    1,492.88/2,060.26 = 829.74/x
  3. Step 3: Cross multiply
    1,492.88x = 2,060.26 × 829.74
  4. Step 4: Simplify right side
    1,492.88x = 1,709,478.06
  5. Step 5: Solve for x
    x = 1,709,478.06/1,492.88
  6. Step 6: Final answer
    x = 1,145.09

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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.