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Finding the Fourth Proportional to 1,089.75, 1,630.58 and 651.24

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Solution

The fourth proportional to 1,089.75, 1,630.58 and 651.24 is: 974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.75 : 1,630.58 = 651.24 : x
  2. Step 2: Convert to fraction form
    1,089.75/1,630.58 = 651.24/x
  3. Step 3: Cross multiply
    1,089.75x = 1,630.58 × 651.24
  4. Step 4: Simplify right side
    1,089.75x = 1,061,899.33
  5. Step 5: Solve for x
    x = 1,061,899.33/1,089.75
  6. Step 6: Final answer
    x = 974.45

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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.