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Finding the Fourth Proportional to 1,321.71, 1,823.91 and 762.20

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Solution

The fourth proportional to 1,321.71, 1,823.91 and 762.20 is: 1,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.71 : 1,823.91 = 762.20 : x
  2. Step 2: Convert to fraction form
    1,321.71/1,823.91 = 762.20/x
  3. Step 3: Cross multiply
    1,321.71x = 1,823.91 × 762.20
  4. Step 4: Simplify right side
    1,321.71x = 1,390,179.06
  5. Step 5: Solve for x
    x = 1,390,179.06/1,321.71
  6. Step 6: Final answer
    x = 1,051.81

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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.