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Finding the Fourth Proportional to 1,322.07, 1,983.14 and 397.65

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Solution

The fourth proportional to 1,322.07, 1,983.14 and 397.65 is: 596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.07 : 1,983.14 = 397.65 : x
  2. Step 2: Convert to fraction form
    1,322.07/1,983.14 = 397.65/x
  3. Step 3: Cross multiply
    1,322.07x = 1,983.14 × 397.65
  4. Step 4: Simplify right side
    1,322.07x = 788,583.72
  5. Step 5: Solve for x
    x = 788,583.72/1,322.07
  6. Step 6: Final answer
    x = 596.48

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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.