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Finding the Fourth Proportional to 1,396.56, 1,927.24 and 775.52

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Solution

The fourth proportional to 1,396.56, 1,927.24 and 775.52 is: 1,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.56 : 1,927.24 = 775.52 : x
  2. Step 2: Convert to fraction form
    1,396.56/1,927.24 = 775.52/x
  3. Step 3: Cross multiply
    1,396.56x = 1,927.24 × 775.52
  4. Step 4: Simplify right side
    1,396.56x = 1,494,613.16
  5. Step 5: Solve for x
    x = 1,494,613.16/1,396.56
  6. Step 6: Final answer
    x = 1,070.21

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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.