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Finding the Fourth Proportional to 1,172.63, 1,754.61 and 826.81

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Solution

The fourth proportional to 1,172.63, 1,754.61 and 826.81 is: 1,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.63 : 1,754.61 = 826.81 : x
  2. Step 2: Convert to fraction form
    1,172.63/1,754.61 = 826.81/x
  3. Step 3: Cross multiply
    1,172.63x = 1,754.61 × 826.81
  4. Step 4: Simplify right side
    1,172.63x = 1,450,726.26
  5. Step 5: Solve for x
    x = 1,450,726.26/1,172.63
  6. Step 6: Final answer
    x = 1,237.16

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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.