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Finding the Fourth Proportional to 1,355.94, 1,871.10 and 766.44

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Solution

The fourth proportional to 1,355.94, 1,871.10 and 766.44 is: 1,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.94 : 1,871.10 = 766.44 : x
  2. Step 2: Convert to fraction form
    1,355.94/1,871.10 = 766.44/x
  3. Step 3: Cross multiply
    1,355.94x = 1,871.10 × 766.44
  4. Step 4: Simplify right side
    1,355.94x = 1,434,085.88
  5. Step 5: Solve for x
    x = 1,434,085.88/1,355.94
  6. Step 6: Final answer
    x = 1,057.63

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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.