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Finding the Fourth Proportional to 1,397.57, 2,097.97 and 749.57

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Solution

The fourth proportional to 1,397.57, 2,097.97 and 749.57 is: 1,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.57 : 2,097.97 = 749.57 : x
  2. Step 2: Convert to fraction form
    1,397.57/2,097.97 = 749.57/x
  3. Step 3: Cross multiply
    1,397.57x = 2,097.97 × 749.57
  4. Step 4: Simplify right side
    1,397.57x = 1,572,563.01
  5. Step 5: Solve for x
    x = 1,572,563.01/1,397.57
  6. Step 6: Final answer
    x = 1,125.22

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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.