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Finding the Fourth Proportional to 1,026.39, 1,416.26 and 584.27

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Solution

The fourth proportional to 1,026.39, 1,416.26 and 584.27 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.39 : 1,416.26 = 584.27 : x
  2. Step 2: Convert to fraction form
    1,026.39/1,416.26 = 584.27/x
  3. Step 3: Cross multiply
    1,026.39x = 1,416.26 × 584.27
  4. Step 4: Simplify right side
    1,026.39x = 827,468.23
  5. Step 5: Solve for x
    x = 827,468.23/1,026.39
  6. Step 6: Final answer
    x = 806.19

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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.