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Finding the Fourth Proportional to 792.07, 1,093.14 and 438.02

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Solution

The fourth proportional to 792.07, 1,093.14 and 438.02 is: 604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.07 : 1,093.14 = 438.02 : x
  2. Step 2: Convert to fraction form
    792.07/1,093.14 = 438.02/x
  3. Step 3: Cross multiply
    792.07x = 1,093.14 × 438.02
  4. Step 4: Simplify right side
    792.07x = 478,822.24
  5. Step 5: Solve for x
    x = 478,822.24/792.07
  6. Step 6: Final answer
    x = 604.52

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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.