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Finding the Fourth Proportional to 1,086.26, 1,629.47 and 437.00

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Solution

The fourth proportional to 1,086.26, 1,629.47 and 437.00 is: 655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.26 : 1,629.47 = 437.00 : x
  2. Step 2: Convert to fraction form
    1,086.26/1,629.47 = 437.00/x
  3. Step 3: Cross multiply
    1,086.26x = 1,629.47 × 437.00
  4. Step 4: Simplify right side
    1,086.26x = 712,068.06
  5. Step 5: Solve for x
    x = 712,068.06/1,086.26
  6. Step 6: Final answer
    x = 655.53

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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.