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Finding the Fourth Proportional to 1,291.94, 1,783.05 and 827.54

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Solution

The fourth proportional to 1,291.94, 1,783.05 and 827.54 is: 1,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.94 : 1,783.05 = 827.54 : x
  2. Step 2: Convert to fraction form
    1,291.94/1,783.05 = 827.54/x
  3. Step 3: Cross multiply
    1,291.94x = 1,783.05 × 827.54
  4. Step 4: Simplify right side
    1,291.94x = 1,475,545.20
  5. Step 5: Solve for x
    x = 1,475,545.20/1,291.94
  6. Step 6: Final answer
    x = 1,142.12

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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.