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Finding the Fourth Proportional to 1,089.67, 1,634.79 and 309.68

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Solution

The fourth proportional to 1,089.67, 1,634.79 and 309.68 is: 464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.67 : 1,634.79 = 309.68 : x
  2. Step 2: Convert to fraction form
    1,089.67/1,634.79 = 309.68/x
  3. Step 3: Cross multiply
    1,089.67x = 1,634.79 × 309.68
  4. Step 4: Simplify right side
    1,089.67x = 506,261.77
  5. Step 5: Solve for x
    x = 506,261.77/1,089.67
  6. Step 6: Final answer
    x = 464.60

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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.