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Finding the Fourth Proportional to 1,158.97, 1,739.46 and 543.19

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Solution

The fourth proportional to 1,158.97, 1,739.46 and 543.19 is: 815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.97 : 1,739.46 = 543.19 : x
  2. Step 2: Convert to fraction form
    1,158.97/1,739.46 = 543.19/x
  3. Step 3: Cross multiply
    1,158.97x = 1,739.46 × 543.19
  4. Step 4: Simplify right side
    1,158.97x = 944,857.28
  5. Step 5: Solve for x
    x = 944,857.28/1,158.97
  6. Step 6: Final answer
    x = 815.26

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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.