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Finding the Fourth Proportional to 1,027.86, 1,418.64 and 585.80

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Solution

The fourth proportional to 1,027.86, 1,418.64 and 585.80 is: 808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.86 : 1,418.64 = 585.80 : x
  2. Step 2: Convert to fraction form
    1,027.86/1,418.64 = 585.80/x
  3. Step 3: Cross multiply
    1,027.86x = 1,418.64 × 585.80
  4. Step 4: Simplify right side
    1,027.86x = 831,039.31
  5. Step 5: Solve for x
    x = 831,039.31/1,027.86
  6. Step 6: Final answer
    x = 808.51

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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.