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Finding the Fourth Proportional to 1,027.91, 1,418.64 and 585.92

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Solution

The fourth proportional to 1,027.91, 1,418.64 and 585.92 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.91 : 1,418.64 = 585.92 : x
  2. Step 2: Convert to fraction form
    1,027.91/1,418.64 = 585.92/x
  3. Step 3: Cross multiply
    1,027.91x = 1,418.64 × 585.92
  4. Step 4: Simplify right side
    1,027.91x = 831,209.55
  5. Step 5: Solve for x
    x = 831,209.55/1,027.91
  6. Step 6: Final answer
    x = 808.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.