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Finding the Fourth Proportional to 1,493.25, 2,060.58 and 830.05

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Solution

The fourth proportional to 1,493.25, 2,060.58 and 830.05 is: 1,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.25 : 2,060.58 = 830.05 : x
  2. Step 2: Convert to fraction form
    1,493.25/2,060.58 = 830.05/x
  3. Step 3: Cross multiply
    1,493.25x = 2,060.58 × 830.05
  4. Step 4: Simplify right side
    1,493.25x = 1,710,384.43
  5. Step 5: Solve for x
    x = 1,710,384.43/1,493.25
  6. Step 6: Final answer
    x = 1,145.41

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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.