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Finding the Fourth Proportional to 1,322.94, 1,983.69 and 775.29

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Solution

The fourth proportional to 1,322.94, 1,983.69 and 775.29 is: 1,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.94 : 1,983.69 = 775.29 : x
  2. Step 2: Convert to fraction form
    1,322.94/1,983.69 = 775.29/x
  3. Step 3: Cross multiply
    1,322.94x = 1,983.69 × 775.29
  4. Step 4: Simplify right side
    1,322.94x = 1,537,935.02
  5. Step 5: Solve for x
    x = 1,537,935.02/1,322.94
  6. Step 6: Final answer
    x = 1,162.51

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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.