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Finding the Fourth Proportional to 1,097.75, 1,513.15 and 1,007.26

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Solution

The fourth proportional to 1,097.75, 1,513.15 and 1,007.26 is: 1,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.75 : 1,513.15 = 1,007.26 : x
  2. Step 2: Convert to fraction form
    1,097.75/1,513.15 = 1,007.26/x
  3. Step 3: Cross multiply
    1,097.75x = 1,513.15 × 1,007.26
  4. Step 4: Simplify right side
    1,097.75x = 1,524,129.17
  5. Step 5: Solve for x
    x = 1,524,129.17/1,097.75
  6. Step 6: Final answer
    x = 1,388.41

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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.