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Finding the Fourth Proportional to 794.72, 1,096.67 and 435.81

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Solution

The fourth proportional to 794.72, 1,096.67 and 435.81 is: 601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.72 : 1,096.67 = 435.81 : x
  2. Step 2: Convert to fraction form
    794.72/1,096.67 = 435.81/x
  3. Step 3: Cross multiply
    794.72x = 1,096.67 × 435.81
  4. Step 4: Simplify right side
    794.72x = 477,939.75
  5. Step 5: Solve for x
    x = 477,939.75/794.72
  6. Step 6: Final answer
    x = 601.39

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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.