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Finding the Fourth Proportional to 683.83, 943.61 and 462.09

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Solution

The fourth proportional to 683.83, 943.61 and 462.09 is: 637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.83 : 943.61 = 462.09 : x
  2. Step 2: Convert to fraction form
    683.83/943.61 = 462.09/x
  3. Step 3: Cross multiply
    683.83x = 943.61 × 462.09
  4. Step 4: Simplify right side
    683.83x = 436,032.74
  5. Step 5: Solve for x
    x = 436,032.74/683.83
  6. Step 6: Final answer
    x = 637.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.