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Finding the Fourth Proportional to 1,026.26, 1,415.88 and 600.78

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Solution

The fourth proportional to 1,026.26, 1,415.88 and 600.78 is: 828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.26 : 1,415.88 = 600.78 : x
  2. Step 2: Convert to fraction form
    1,026.26/1,415.88 = 600.78/x
  3. Step 3: Cross multiply
    1,026.26x = 1,415.88 × 600.78
  4. Step 4: Simplify right side
    1,026.26x = 850,632.39
  5. Step 5: Solve for x
    x = 850,632.39/1,026.26
  6. Step 6: Final answer
    x = 828.87

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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.