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Finding the Fourth Proportional to 683.73, 1,026.28 and 461.34

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Solution

The fourth proportional to 683.73, 1,026.28 and 461.34 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.73 : 1,026.28 = 461.34 : x
  2. Step 2: Convert to fraction form
    683.73/1,026.28 = 461.34/x
  3. Step 3: Cross multiply
    683.73x = 1,026.28 × 461.34
  4. Step 4: Simplify right side
    683.73x = 473,458.88
  5. Step 5: Solve for x
    x = 473,458.88/683.73
  6. Step 6: Final answer
    x = 692.46

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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.