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Finding the Fourth Proportional to 1,387.13, 2,080.70 and 361.13

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Solution

The fourth proportional to 1,387.13, 2,080.70 and 361.13 is: 541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 2,080.70 = 361.13 : x
  2. Step 2: Convert to fraction form
    1,387.13/2,080.70 = 361.13/x
  3. Step 3: Cross multiply
    1,387.13x = 2,080.70 × 361.13
  4. Step 4: Simplify right side
    1,387.13x = 751,403.19
  5. Step 5: Solve for x
    x = 751,403.19/1,387.13
  6. Step 6: Final answer
    x = 541.70

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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.