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Finding the Fourth Proportional to 1,090.58, 1,634.66 and 543.16

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Solution

The fourth proportional to 1,090.58, 1,634.66 and 543.16 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.58 : 1,634.66 = 543.16 : x
  2. Step 2: Convert to fraction form
    1,090.58/1,634.66 = 543.16/x
  3. Step 3: Cross multiply
    1,090.58x = 1,634.66 × 543.16
  4. Step 4: Simplify right side
    1,090.58x = 887,881.93
  5. Step 5: Solve for x
    x = 887,881.93/1,090.58
  6. Step 6: Final answer
    x = 814.14

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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.