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Finding the Fourth Proportional to 1,096.49, 1,514.19 and 704.20

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Solution

The fourth proportional to 1,096.49, 1,514.19 and 704.20 is: 972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.49 : 1,514.19 = 704.20 : x
  2. Step 2: Convert to fraction form
    1,096.49/1,514.19 = 704.20/x
  3. Step 3: Cross multiply
    1,096.49x = 1,514.19 × 704.20
  4. Step 4: Simplify right side
    1,096.49x = 1,066,289.08
  5. Step 5: Solve for x
    x = 1,066,289.08/1,096.49
  6. Step 6: Final answer
    x = 972.46

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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.