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Finding the Fourth Proportional to 675.75, 1,014.32 and 455.68

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Solution

The fourth proportional to 675.75, 1,014.32 and 455.68 is: 683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,014.32 = 455.68 : x
  2. Step 2: Convert to fraction form
    675.75/1,014.32 = 455.68/x
  3. Step 3: Cross multiply
    675.75x = 1,014.32 × 455.68
  4. Step 4: Simplify right side
    675.75x = 462,205.34
  5. Step 5: Solve for x
    x = 462,205.34/675.75
  6. Step 6: Final answer
    x = 683.99

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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.