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Finding the Fourth Proportional to 1,097.57, 1,513.76 and 849.56

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Solution

The fourth proportional to 1,097.57, 1,513.76 and 849.56 is: 1,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.57 : 1,513.76 = 849.56 : x
  2. Step 2: Convert to fraction form
    1,097.57/1,513.76 = 849.56/x
  3. Step 3: Cross multiply
    1,097.57x = 1,513.76 × 849.56
  4. Step 4: Simplify right side
    1,097.57x = 1,286,018.13
  5. Step 5: Solve for x
    x = 1,286,018.13/1,097.57
  6. Step 6: Final answer
    x = 1,171.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.