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Finding the Fourth Proportional to 1,493.35, 2,060.87 and 830.21

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Solution

The fourth proportional to 1,493.35, 2,060.87 and 830.21 is: 1,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.35 : 2,060.87 = 830.21 : x
  2. Step 2: Convert to fraction form
    1,493.35/2,060.87 = 830.21/x
  3. Step 3: Cross multiply
    1,493.35x = 2,060.87 × 830.21
  4. Step 4: Simplify right side
    1,493.35x = 1,710,940.43
  5. Step 5: Solve for x
    x = 1,710,940.43/1,493.35
  6. Step 6: Final answer
    x = 1,145.71

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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.