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Finding the Fourth Proportional to 1,126.96, 1,681.89 and 1,097.80

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Solution

The fourth proportional to 1,126.96, 1,681.89 and 1,097.80 is: 1,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.96 : 1,681.89 = 1,097.80 : x
  2. Step 2: Convert to fraction form
    1,126.96/1,681.89 = 1,097.80/x
  3. Step 3: Cross multiply
    1,126.96x = 1,681.89 × 1,097.80
  4. Step 4: Simplify right side
    1,126.96x = 1,846,378.84
  5. Step 5: Solve for x
    x = 1,846,378.84/1,126.96
  6. Step 6: Final answer
    x = 1,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.