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Finding the Fourth Proportional to 792, 1,188.54 and 475.65

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Solution

The fourth proportional to 792, 1,188.54 and 475.65 is: 713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    792 : 1,188.54 = 475.65 : x
  2. Step 2: Convert to fraction form
    792/1,188.54 = 475.65/x
  3. Step 3: Cross multiply
    792x = 1,188.54 × 475.65
  4. Step 4: Simplify right side
    792x = 565,329.05
  5. Step 5: Solve for x
    x = 565,329.05/792
  6. Step 6: Final answer
    x = 713.80

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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.