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Finding the Fourth Proportional to 675.84, 1,012.16 and 345.97

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Solution

The fourth proportional to 675.84, 1,012.16 and 345.97 is: 518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 1,012.16 = 345.97 : x
  2. Step 2: Convert to fraction form
    675.84/1,012.16 = 345.97/x
  3. Step 3: Cross multiply
    675.84x = 1,012.16 × 345.97
  4. Step 4: Simplify right side
    675.84x = 350,179.13
  5. Step 5: Solve for x
    x = 350,179.13/675.84
  6. Step 6: Final answer
    x = 518.14

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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.