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Finding the Fourth Proportional to 1,089.90, 1,634.51 and 359.30

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Solution

The fourth proportional to 1,089.90, 1,634.51 and 359.30 is: 538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.90 : 1,634.51 = 359.30 : x
  2. Step 2: Convert to fraction form
    1,089.90/1,634.51 = 359.30/x
  3. Step 3: Cross multiply
    1,089.90x = 1,634.51 × 359.30
  4. Step 4: Simplify right side
    1,089.90x = 587,284.43
  5. Step 5: Solve for x
    x = 587,284.43/1,089.90
  6. Step 6: Final answer
    x = 538.84

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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.