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Finding the Fourth Proportional to 675.90, 1,014.57 and 351.18

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Solution

The fourth proportional to 675.90, 1,014.57 and 351.18 is: 527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 1,014.57 = 351.18 : x
  2. Step 2: Convert to fraction form
    675.90/1,014.57 = 351.18/x
  3. Step 3: Cross multiply
    675.90x = 1,014.57 × 351.18
  4. Step 4: Simplify right side
    675.90x = 356,296.69
  5. Step 5: Solve for x
    x = 356,296.69/675.90
  6. Step 6: Final answer
    x = 527.14

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Why These Related Problems?

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