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Finding the Fourth Proportional to 1,162.64, 1,743.93 and 546.14

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Solution

The fourth proportional to 1,162.64, 1,743.93 and 546.14 is: 819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.64 : 1,743.93 = 546.14 : x
  2. Step 2: Convert to fraction form
    1,162.64/1,743.93 = 546.14/x
  3. Step 3: Cross multiply
    1,162.64x = 1,743.93 × 546.14
  4. Step 4: Simplify right side
    1,162.64x = 952,421.21
  5. Step 5: Solve for x
    x = 952,421.21/1,162.64
  6. Step 6: Final answer
    x = 819.19

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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.