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Finding the Fourth Proportional to 684.05, 1,026.93 and 337.73

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Solution

The fourth proportional to 684.05, 1,026.93 and 337.73 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 1,026.93 = 337.73 : x
  2. Step 2: Convert to fraction form
    684.05/1,026.93 = 337.73/x
  3. Step 3: Cross multiply
    684.05x = 1,026.93 × 337.73
  4. Step 4: Simplify right side
    684.05x = 346,819.93
  5. Step 5: Solve for x
    x = 346,819.93/684.05
  6. Step 6: Final answer
    x = 507.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.