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Finding the Fourth Proportional to 1,170.16, 1,755.26 and 400.68

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Solution

The fourth proportional to 1,170.16, 1,755.26 and 400.68 is: 601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.16 : 1,755.26 = 400.68 : x
  2. Step 2: Convert to fraction form
    1,170.16/1,755.26 = 400.68/x
  3. Step 3: Cross multiply
    1,170.16x = 1,755.26 × 400.68
  4. Step 4: Simplify right side
    1,170.16x = 703,297.58
  5. Step 5: Solve for x
    x = 703,297.58/1,170.16
  6. Step 6: Final answer
    x = 601.03

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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.