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Finding the Fourth Proportional to 792.42, 1,093.68 and 582.90

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Solution

The fourth proportional to 792.42, 1,093.68 and 582.90 is: 804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.42 : 1,093.68 = 582.90 : x
  2. Step 2: Convert to fraction form
    792.42/1,093.68 = 582.90/x
  3. Step 3: Cross multiply
    792.42x = 1,093.68 × 582.90
  4. Step 4: Simplify right side
    792.42x = 637,506.07
  5. Step 5: Solve for x
    x = 637,506.07/792.42
  6. Step 6: Final answer
    x = 804.51

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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.