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Finding the Fourth Proportional to 683.88, 1,026.32 and 463.96

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Solution

The fourth proportional to 683.88, 1,026.32 and 463.96 is: 696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 1,026.32 = 463.96 : x
  2. Step 2: Convert to fraction form
    683.88/1,026.32 = 463.96/x
  3. Step 3: Cross multiply
    683.88x = 1,026.32 × 463.96
  4. Step 4: Simplify right side
    683.88x = 476,171.26
  5. Step 5: Solve for x
    x = 476,171.26/683.88
  6. Step 6: Final answer
    x = 696.28

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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.