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Finding the Fourth Proportional to 1,089.42, 1,634.13 and 627.90

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Solution

The fourth proportional to 1,089.42, 1,634.13 and 627.90 is: 941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.42 : 1,634.13 = 627.90 : x
  2. Step 2: Convert to fraction form
    1,089.42/1,634.13 = 627.90/x
  3. Step 3: Cross multiply
    1,089.42x = 1,634.13 × 627.90
  4. Step 4: Simplify right side
    1,089.42x = 1,026,070.23
  5. Step 5: Solve for x
    x = 1,026,070.23/1,089.42
  6. Step 6: Final answer
    x = 941.85

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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.