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Finding the Fourth Proportional to 1,141.94, 1,712.91 and 976.33

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Solution

The fourth proportional to 1,141.94, 1,712.91 and 976.33 is: 1,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.94 : 1,712.91 = 976.33 : x
  2. Step 2: Convert to fraction form
    1,141.94/1,712.91 = 976.33/x
  3. Step 3: Cross multiply
    1,141.94x = 1,712.91 × 976.33
  4. Step 4: Simplify right side
    1,141.94x = 1,672,371.22
  5. Step 5: Solve for x
    x = 1,672,371.22/1,141.94
  6. Step 6: Final answer
    x = 1,464.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.