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Finding the Fourth Proportional to 1,097.93, 1,512.60 and 704.27

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Solution

The fourth proportional to 1,097.93, 1,512.60 and 704.27 is: 970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.93 : 1,512.60 = 704.27 : x
  2. Step 2: Convert to fraction form
    1,097.93/1,512.60 = 704.27/x
  3. Step 3: Cross multiply
    1,097.93x = 1,512.60 × 704.27
  4. Step 4: Simplify right side
    1,097.93x = 1,065,278.80
  5. Step 5: Solve for x
    x = 1,065,278.80/1,097.93
  6. Step 6: Final answer
    x = 970.26

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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.