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Finding the Fourth Proportional to 792.64, 1,187.74 and 467.65

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Solution

The fourth proportional to 792.64, 1,187.74 and 467.65 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.64 : 1,187.74 = 467.65 : x
  2. Step 2: Convert to fraction form
    792.64/1,187.74 = 467.65/x
  3. Step 3: Cross multiply
    792.64x = 1,187.74 × 467.65
  4. Step 4: Simplify right side
    792.64x = 555,446.61
  5. Step 5: Solve for x
    x = 555,446.61/792.64
  6. Step 6: Final answer
    x = 700.76

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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.