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Finding the Fourth Proportional to 1,396.68, 1,927.08 and 775.68

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Solution

The fourth proportional to 1,396.68, 1,927.08 and 775.68 is: 1,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.68 : 1,927.08 = 775.68 : x
  2. Step 2: Convert to fraction form
    1,396.68/1,927.08 = 775.68/x
  3. Step 3: Cross multiply
    1,396.68x = 1,927.08 × 775.68
  4. Step 4: Simplify right side
    1,396.68x = 1,494,797.41
  5. Step 5: Solve for x
    x = 1,494,797.41/1,396.68
  6. Step 6: Final answer
    x = 1,070.25

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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.