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Finding the Fourth Proportional to 1,322.13, 1,983.17 and 348.23

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Solution

The fourth proportional to 1,322.13, 1,983.17 and 348.23 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.13 : 1,983.17 = 348.23 : x
  2. Step 2: Convert to fraction form
    1,322.13/1,983.17 = 348.23/x
  3. Step 3: Cross multiply
    1,322.13x = 1,983.17 × 348.23
  4. Step 4: Simplify right side
    1,322.13x = 690,605.12
  5. Step 5: Solve for x
    x = 690,605.12/1,322.13
  6. Step 6: Final answer
    x = 522.34

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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.