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Finding the Fourth Proportional to 687.08, 1,029.91 and 394.26

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Solution

The fourth proportional to 687.08, 1,029.91 and 394.26 is: 590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.08 : 1,029.91 = 394.26 : x
  2. Step 2: Convert to fraction form
    687.08/1,029.91 = 394.26/x
  3. Step 3: Cross multiply
    687.08x = 1,029.91 × 394.26
  4. Step 4: Simplify right side
    687.08x = 406,052.32
  5. Step 5: Solve for x
    x = 406,052.32/687.08
  6. Step 6: Final answer
    x = 590.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.