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Finding the Fourth Proportional to 1,326.09, 1,989.14 and 504.17

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Solution

The fourth proportional to 1,326.09, 1,989.14 and 504.17 is: 756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.09 : 1,989.14 = 504.17 : x
  2. Step 2: Convert to fraction form
    1,326.09/1,989.14 = 504.17/x
  3. Step 3: Cross multiply
    1,326.09x = 1,989.14 × 504.17
  4. Step 4: Simplify right side
    1,326.09x = 1,002,867.17
  5. Step 5: Solve for x
    x = 1,002,867.17/1,326.09
  6. Step 6: Final answer
    x = 756.26

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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.