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Finding the Fourth Proportional to 1,634.69, 2,452.02 and 710.91

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Solution

The fourth proportional to 1,634.69, 2,452.02 and 710.91 is: 1,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.69 : 2,452.02 = 710.91 : x
  2. Step 2: Convert to fraction form
    1,634.69/2,452.02 = 710.91/x
  3. Step 3: Cross multiply
    1,634.69x = 2,452.02 × 710.91
  4. Step 4: Simplify right side
    1,634.69x = 1,743,165.54
  5. Step 5: Solve for x
    x = 1,743,165.54/1,634.69
  6. Step 6: Final answer
    x = 1,066.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.