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Finding the Fourth Proportional to 1,141.49, 1,574.92 and 768.89

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Solution

The fourth proportional to 1,141.49, 1,574.92 and 768.89 is: 1,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.49 : 1,574.92 = 768.89 : x
  2. Step 2: Convert to fraction form
    1,141.49/1,574.92 = 768.89/x
  3. Step 3: Cross multiply
    1,141.49x = 1,574.92 × 768.89
  4. Step 4: Simplify right side
    1,141.49x = 1,210,928.52
  5. Step 5: Solve for x
    x = 1,210,928.52/1,141.49
  6. Step 6: Final answer
    x = 1,060.84

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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.