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Finding the Fourth Proportional to 794.61, 1,096.94 and 462.99

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Solution

The fourth proportional to 794.61, 1,096.94 and 462.99 is: 639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.61 : 1,096.94 = 462.99 : x
  2. Step 2: Convert to fraction form
    794.61/1,096.94 = 462.99/x
  3. Step 3: Cross multiply
    794.61x = 1,096.94 × 462.99
  4. Step 4: Simplify right side
    794.61x = 507,872.25
  5. Step 5: Solve for x
    x = 507,872.25/794.61
  6. Step 6: Final answer
    x = 639.15

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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.