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Finding the Fourth Proportional to 792.01, 1,186.93 and 358.26

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Solution

The fourth proportional to 792.01, 1,186.93 and 358.26 is: 536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.01 : 1,186.93 = 358.26 : x
  2. Step 2: Convert to fraction form
    792.01/1,186.93 = 358.26/x
  3. Step 3: Cross multiply
    792.01x = 1,186.93 × 358.26
  4. Step 4: Simplify right side
    792.01x = 425,229.54
  5. Step 5: Solve for x
    x = 425,229.54/792.01
  6. Step 6: Final answer
    x = 536.90

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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.