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Finding the Fourth Proportional to 792.54, 1,188.42 and 467.82

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Solution

The fourth proportional to 792.54, 1,188.42 and 467.82 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.54 : 1,188.42 = 467.82 : x
  2. Step 2: Convert to fraction form
    792.54/1,188.42 = 467.82/x
  3. Step 3: Cross multiply
    792.54x = 1,188.42 × 467.82
  4. Step 4: Simplify right side
    792.54x = 555,966.64
  5. Step 5: Solve for x
    x = 555,966.64/792.54
  6. Step 6: Final answer
    x = 701.50

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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.