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Finding the Fourth Proportional to 1,493.14, 2,060.05 and 829.86

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Solution

The fourth proportional to 1,493.14, 2,060.05 and 829.86 is: 1,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.14 : 2,060.05 = 829.86 : x
  2. Step 2: Convert to fraction form
    1,493.14/2,060.05 = 829.86/x
  3. Step 3: Cross multiply
    1,493.14x = 2,060.05 × 829.86
  4. Step 4: Simplify right side
    1,493.14x = 1,709,562.53
  5. Step 5: Solve for x
    x = 1,709,562.53/1,493.14
  6. Step 6: Final answer
    x = 1,144.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.