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Finding the Fourth Proportional to 1,492.86, 2,060.06 and 829.68

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Solution

The fourth proportional to 1,492.86, 2,060.06 and 829.68 is: 1,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.86 : 2,060.06 = 829.68 : x
  2. Step 2: Convert to fraction form
    1,492.86/2,060.06 = 829.68/x
  3. Step 3: Cross multiply
    1,492.86x = 2,060.06 × 829.68
  4. Step 4: Simplify right side
    1,492.86x = 1,709,190.58
  5. Step 5: Solve for x
    x = 1,709,190.58/1,492.86
  6. Step 6: Final answer
    x = 1,144.91

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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.