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Finding the Fourth Proportional to 805.44, 1,110.52 and 572.16

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Solution

The fourth proportional to 805.44, 1,110.52 and 572.16 is: 788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.44 : 1,110.52 = 572.16 : x
  2. Step 2: Convert to fraction form
    805.44/1,110.52 = 572.16/x
  3. Step 3: Cross multiply
    805.44x = 1,110.52 × 572.16
  4. Step 4: Simplify right side
    805.44x = 635,395.12
  5. Step 5: Solve for x
    x = 635,395.12/805.44
  6. Step 6: Final answer
    x = 788.88

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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.