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Finding the Fourth Proportional to 1,225.14, 1,690.92 and 727.62

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Solution

The fourth proportional to 1,225.14, 1,690.92 and 727.62 is: 1,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.14 : 1,690.92 = 727.62 : x
  2. Step 2: Convert to fraction form
    1,225.14/1,690.92 = 727.62/x
  3. Step 3: Cross multiply
    1,225.14x = 1,690.92 × 727.62
  4. Step 4: Simplify right side
    1,225.14x = 1,230,347.21
  5. Step 5: Solve for x
    x = 1,230,347.21/1,225.14
  6. Step 6: Final answer
    x = 1,004.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.