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Finding the Fourth Proportional to 683.38, 1,026.10 and 410.70

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Solution

The fourth proportional to 683.38, 1,026.10 and 410.70 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.38 : 1,026.10 = 410.70 : x
  2. Step 2: Convert to fraction form
    683.38/1,026.10 = 410.70/x
  3. Step 3: Cross multiply
    683.38x = 1,026.10 × 410.70
  4. Step 4: Simplify right side
    683.38x = 421,419.27
  5. Step 5: Solve for x
    x = 421,419.27/683.38
  6. Step 6: Final answer
    x = 616.67

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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.