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Finding the Fourth Proportional to 683.95, 1,026.03 and 337.30

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Solution

The fourth proportional to 683.95, 1,026.03 and 337.30 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.95 : 1,026.03 = 337.30 : x
  2. Step 2: Convert to fraction form
    683.95/1,026.03 = 337.30/x
  3. Step 3: Cross multiply
    683.95x = 1,026.03 × 337.30
  4. Step 4: Simplify right side
    683.95x = 346,074.79
  5. Step 5: Solve for x
    x = 346,074.79/683.95
  6. Step 6: Final answer
    x = 506.00

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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.