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Finding the Fourth Proportional to 1,322.13, 1,983.51 and 705.51

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Solution

The fourth proportional to 1,322.13, 1,983.51 and 705.51 is: 1,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.13 : 1,983.51 = 705.51 : x
  2. Step 2: Convert to fraction form
    1,322.13/1,983.51 = 705.51/x
  3. Step 3: Cross multiply
    1,322.13x = 1,983.51 × 705.51
  4. Step 4: Simplify right side
    1,322.13x = 1,399,382.61
  5. Step 5: Solve for x
    x = 1,399,382.61/1,322.13
  6. Step 6: Final answer
    x = 1,058.43

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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.