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Finding the Fourth Proportional to 1,275.73, 1,757.87 and 976.96

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Solution

The fourth proportional to 1,275.73, 1,757.87 and 976.96 is: 1,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.73 : 1,757.87 = 976.96 : x
  2. Step 2: Convert to fraction form
    1,275.73/1,757.87 = 976.96/x
  3. Step 3: Cross multiply
    1,275.73x = 1,757.87 × 976.96
  4. Step 4: Simplify right side
    1,275.73x = 1,717,369.65
  5. Step 5: Solve for x
    x = 1,717,369.65/1,275.73
  6. Step 6: Final answer
    x = 1,346.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.