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Finding the Fourth Proportional to 1,097.48, 1,514.53 and 704.51

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Solution

The fourth proportional to 1,097.48, 1,514.53 and 704.51 is: 972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.48 : 1,514.53 = 704.51 : x
  2. Step 2: Convert to fraction form
    1,097.48/1,514.53 = 704.51/x
  3. Step 3: Cross multiply
    1,097.48x = 1,514.53 × 704.51
  4. Step 4: Simplify right side
    1,097.48x = 1,066,992.20
  5. Step 5: Solve for x
    x = 1,066,992.20/1,097.48
  6. Step 6: Final answer
    x = 972.22

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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.