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Finding the Fourth Proportional to 926.86, 1,392.04 and 795.36

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Solution

The fourth proportional to 926.86, 1,392.04 and 795.36 is: 1,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.86 : 1,392.04 = 795.36 : x
  2. Step 2: Convert to fraction form
    926.86/1,392.04 = 795.36/x
  3. Step 3: Cross multiply
    926.86x = 1,392.04 × 795.36
  4. Step 4: Simplify right side
    926.86x = 1,107,172.93
  5. Step 5: Solve for x
    x = 1,107,172.93/926.86
  6. Step 6: Final answer
    x = 1,194.54

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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.