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Finding the Fourth Proportional to 1,089.32, 1,629.72 and 914.98

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Solution

The fourth proportional to 1,089.32, 1,629.72 and 914.98 is: 1,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.32 : 1,629.72 = 914.98 : x
  2. Step 2: Convert to fraction form
    1,089.32/1,629.72 = 914.98/x
  3. Step 3: Cross multiply
    1,089.32x = 1,629.72 × 914.98
  4. Step 4: Simplify right side
    1,089.32x = 1,491,161.21
  5. Step 5: Solve for x
    x = 1,491,161.21/1,089.32
  6. Step 6: Final answer
    x = 1,368.89

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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.