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Finding the Fourth Proportional to 703.28, 971.16 and 585.44

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Solution

The fourth proportional to 703.28, 971.16 and 585.44 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.28 : 971.16 = 585.44 : x
  2. Step 2: Convert to fraction form
    703.28/971.16 = 585.44/x
  3. Step 3: Cross multiply
    703.28x = 971.16 × 585.44
  4. Step 4: Simplify right side
    703.28x = 568,555.91
  5. Step 5: Solve for x
    x = 568,555.91/703.28
  6. Step 6: Final answer
    x = 808.43

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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.