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Finding the Fourth Proportional to 1,321.29, 1,823.36 and 723.77

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Solution

The fourth proportional to 1,321.29, 1,823.36 and 723.77 is: 998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.29 : 1,823.36 = 723.77 : x
  2. Step 2: Convert to fraction form
    1,321.29/1,823.36 = 723.77/x
  3. Step 3: Cross multiply
    1,321.29x = 1,823.36 × 723.77
  4. Step 4: Simplify right side
    1,321.29x = 1,319,689.65
  5. Step 5: Solve for x
    x = 1,319,689.65/1,321.29
  6. Step 6: Final answer
    x = 998.79

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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.