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Finding the Fourth Proportional to 792.59, 1,189.62 and 402.87

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Solution

The fourth proportional to 792.59, 1,189.62 and 402.87 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.59 : 1,189.62 = 402.87 : x
  2. Step 2: Convert to fraction form
    792.59/1,189.62 = 402.87/x
  3. Step 3: Cross multiply
    792.59x = 1,189.62 × 402.87
  4. Step 4: Simplify right side
    792.59x = 479,256.63
  5. Step 5: Solve for x
    x = 479,256.63/792.59
  6. Step 6: Final answer
    x = 604.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.