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Finding the Fourth Proportional to 1,326.08, 1,828.94 and 927.61

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Solution

The fourth proportional to 1,326.08, 1,828.94 and 927.61 is: 1,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.08 : 1,828.94 = 927.61 : x
  2. Step 2: Convert to fraction form
    1,326.08/1,828.94 = 927.61/x
  3. Step 3: Cross multiply
    1,326.08x = 1,828.94 × 927.61
  4. Step 4: Simplify right side
    1,326.08x = 1,696,533.89
  5. Step 5: Solve for x
    x = 1,696,533.89/1,326.08
  6. Step 6: Final answer
    x = 1,279.36

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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.