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Finding the Fourth Proportional to 685.03, 1,027.73 and 319.63

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Solution

The fourth proportional to 685.03, 1,027.73 and 319.63 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.03 : 1,027.73 = 319.63 : x
  2. Step 2: Convert to fraction form
    685.03/1,027.73 = 319.63/x
  3. Step 3: Cross multiply
    685.03x = 1,027.73 × 319.63
  4. Step 4: Simplify right side
    685.03x = 328,491.74
  5. Step 5: Solve for x
    x = 328,491.74/685.03
  6. Step 6: Final answer
    x = 479.53

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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.