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Finding the Fourth Proportional to 792.77, 1,187.51 and 467.96

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Solution

The fourth proportional to 792.77, 1,187.51 and 467.96 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.77 : 1,187.51 = 467.96 : x
  2. Step 2: Convert to fraction form
    792.77/1,187.51 = 467.96/x
  3. Step 3: Cross multiply
    792.77x = 1,187.51 × 467.96
  4. Step 4: Simplify right side
    792.77x = 555,698.90
  5. Step 5: Solve for x
    x = 555,698.90/792.77
  6. Step 6: Final answer
    x = 700.96

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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.