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Finding the Fourth Proportional to 1,086.90, 1,629.36 and 437.19

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Solution

The fourth proportional to 1,086.90, 1,629.36 and 437.19 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.90 : 1,629.36 = 437.19 : x
  2. Step 2: Convert to fraction form
    1,086.90/1,629.36 = 437.19/x
  3. Step 3: Cross multiply
    1,086.90x = 1,629.36 × 437.19
  4. Step 4: Simplify right side
    1,086.90x = 712,339.90
  5. Step 5: Solve for x
    x = 712,339.90/1,086.90
  6. Step 6: Final answer
    x = 655.39

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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.