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Finding the Fourth Proportional to 1,214.51, 1,818.99 and 726.56

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Solution

The fourth proportional to 1,214.51, 1,818.99 and 726.56 is: 1,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.51 : 1,818.99 = 726.56 : x
  2. Step 2: Convert to fraction form
    1,214.51/1,818.99 = 726.56/x
  3. Step 3: Cross multiply
    1,214.51x = 1,818.99 × 726.56
  4. Step 4: Simplify right side
    1,214.51x = 1,321,605.37
  5. Step 5: Solve for x
    x = 1,321,605.37/1,214.51
  6. Step 6: Final answer
    x = 1,088.18

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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.