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Finding the Fourth Proportional to 683.94, 1,026.16 and 245.40

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Solution

The fourth proportional to 683.94, 1,026.16 and 245.40 is: 368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 1,026.16 = 245.40 : x
  2. Step 2: Convert to fraction form
    683.94/1,026.16 = 245.40/x
  3. Step 3: Cross multiply
    683.94x = 1,026.16 × 245.40
  4. Step 4: Simplify right side
    683.94x = 251,819.66
  5. Step 5: Solve for x
    x = 251,819.66/683.94
  6. Step 6: Final answer
    x = 368.19

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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.