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Finding the Fourth Proportional to 684.36, 1,027.15 and 319.35

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Solution

The fourth proportional to 684.36, 1,027.15 and 319.35 is: 479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 1,027.15 = 319.35 : x
  2. Step 2: Convert to fraction form
    684.36/1,027.15 = 319.35/x
  3. Step 3: Cross multiply
    684.36x = 1,027.15 × 319.35
  4. Step 4: Simplify right side
    684.36x = 328,020.35
  5. Step 5: Solve for x
    x = 328,020.35/684.36
  6. Step 6: Final answer
    x = 479.31

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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.