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Finding the Fourth Proportional to 1,334.74, 1,842.34 and 775.34

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Solution

The fourth proportional to 1,334.74, 1,842.34 and 775.34 is: 1,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.74 : 1,842.34 = 775.34 : x
  2. Step 2: Convert to fraction form
    1,334.74/1,842.34 = 775.34/x
  3. Step 3: Cross multiply
    1,334.74x = 1,842.34 × 775.34
  4. Step 4: Simplify right side
    1,334.74x = 1,428,439.90
  5. Step 5: Solve for x
    x = 1,428,439.90/1,334.74
  6. Step 6: Final answer
    x = 1,070.20

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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.