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Finding the Fourth Proportional to 1,357.52, 1,873.43 and 768.06

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Solution

The fourth proportional to 1,357.52, 1,873.43 and 768.06 is: 1,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.52 : 1,873.43 = 768.06 : x
  2. Step 2: Convert to fraction form
    1,357.52/1,873.43 = 768.06/x
  3. Step 3: Cross multiply
    1,357.52x = 1,873.43 × 768.06
  4. Step 4: Simplify right side
    1,357.52x = 1,438,902.81
  5. Step 5: Solve for x
    x = 1,438,902.81/1,357.52
  6. Step 6: Final answer
    x = 1,059.95

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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.