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Finding the Fourth Proportional to 1,026.43, 1,416.39 and 584.32

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Solution

The fourth proportional to 1,026.43, 1,416.39 and 584.32 is: 806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.43 : 1,416.39 = 584.32 : x
  2. Step 2: Convert to fraction form
    1,026.43/1,416.39 = 584.32/x
  3. Step 3: Cross multiply
    1,026.43x = 1,416.39 × 584.32
  4. Step 4: Simplify right side
    1,026.43x = 827,625.00
  5. Step 5: Solve for x
    x = 827,625.00/1,026.43
  6. Step 6: Final answer
    x = 806.31

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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.