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Finding the Fourth Proportional to 792.06, 1,093.08 and 438

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Solution

The fourth proportional to 792.06, 1,093.08 and 438 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.06 : 1,093.08 = 438 : x
  2. Step 2: Convert to fraction form
    792.06/1,093.08 = 438/x
  3. Step 3: Cross multiply
    792.06x = 1,093.08 × 438
  4. Step 4: Simplify right side
    792.06x = 478,769.04
  5. Step 5: Solve for x
    x = 478,769.04/792.06
  6. Step 6: Final answer
    x = 604.46

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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.