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Finding the Fourth Proportional to 926.07, 1,388.19 and 596.81

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Solution

The fourth proportional to 926.07, 1,388.19 and 596.81 is: 894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.07 : 1,388.19 = 596.81 : x
  2. Step 2: Convert to fraction form
    926.07/1,388.19 = 596.81/x
  3. Step 3: Cross multiply
    926.07x = 1,388.19 × 596.81
  4. Step 4: Simplify right side
    926.07x = 828,485.67
  5. Step 5: Solve for x
    x = 828,485.67/926.07
  6. Step 6: Final answer
    x = 894.63

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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.