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Finding the Fourth Proportional to 826.93, 1,240.39 and 392.77

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Solution

The fourth proportional to 826.93, 1,240.39 and 392.77 is: 589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.93 : 1,240.39 = 392.77 : x
  2. Step 2: Convert to fraction form
    826.93/1,240.39 = 392.77/x
  3. Step 3: Cross multiply
    826.93x = 1,240.39 × 392.77
  4. Step 4: Simplify right side
    826.93x = 487,185.37
  5. Step 5: Solve for x
    x = 487,185.37/826.93
  6. Step 6: Final answer
    x = 589.15

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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.