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Finding the Fourth Proportional to 792.18, 1,182.50 and 727.18

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Solution

The fourth proportional to 792.18, 1,182.50 and 727.18 is: 1,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.18 : 1,182.50 = 727.18 : x
  2. Step 2: Convert to fraction form
    792.18/1,182.50 = 727.18/x
  3. Step 3: Cross multiply
    792.18x = 1,182.50 × 727.18
  4. Step 4: Simplify right side
    792.18x = 859,886.48
  5. Step 5: Solve for x
    x = 859,886.48/792.18
  6. Step 6: Final answer
    x = 1,085.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.