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Finding the Fourth Proportional to 1,097.58, 1,514.64 and 704.60

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Solution

The fourth proportional to 1,097.58, 1,514.64 and 704.60 is: 972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.58 : 1,514.64 = 704.60 : x
  2. Step 2: Convert to fraction form
    1,097.58/1,514.64 = 704.60/x
  3. Step 3: Cross multiply
    1,097.58x = 1,514.64 × 704.60
  4. Step 4: Simplify right side
    1,097.58x = 1,067,215.34
  5. Step 5: Solve for x
    x = 1,067,215.34/1,097.58
  6. Step 6: Final answer
    x = 972.33

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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.