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Finding the Fourth Proportional to 1,175.99, 1,763.42 and 435.09

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Solution

The fourth proportional to 1,175.99, 1,763.42 and 435.09 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.99 : 1,763.42 = 435.09 : x
  2. Step 2: Convert to fraction form
    1,175.99/1,763.42 = 435.09/x
  3. Step 3: Cross multiply
    1,175.99x = 1,763.42 × 435.09
  4. Step 4: Simplify right side
    1,175.99x = 767,244.23
  5. Step 5: Solve for x
    x = 767,244.23/1,175.99
  6. Step 6: Final answer
    x = 652.43

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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.