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Finding the Fourth Proportional to 792.65, 1,189.54 and 305.81

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Solution

The fourth proportional to 792.65, 1,189.54 and 305.81 is: 458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.65 : 1,189.54 = 305.81 : x
  2. Step 2: Convert to fraction form
    792.65/1,189.54 = 305.81/x
  3. Step 3: Cross multiply
    792.65x = 1,189.54 × 305.81
  4. Step 4: Simplify right side
    792.65x = 363,773.23
  5. Step 5: Solve for x
    x = 363,773.23/792.65
  6. Step 6: Final answer
    x = 458.93

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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.