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Finding the Fourth Proportional to 792.52, 1,188.64 and 215.24

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Solution

The fourth proportional to 792.52, 1,188.64 and 215.24 is: 322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.52 : 1,188.64 = 215.24 : x
  2. Step 2: Convert to fraction form
    792.52/1,188.64 = 215.24/x
  3. Step 3: Cross multiply
    792.52x = 1,188.64 × 215.24
  4. Step 4: Simplify right side
    792.52x = 255,842.87
  5. Step 5: Solve for x
    x = 255,842.87/792.52
  6. Step 6: Final answer
    x = 322.82

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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.