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Finding the Fourth Proportional to 1,089.10, 1,631.44 and 870.09

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Solution

The fourth proportional to 1,089.10, 1,631.44 and 870.09 is: 1,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.10 : 1,631.44 = 870.09 : x
  2. Step 2: Convert to fraction form
    1,089.10/1,631.44 = 870.09/x
  3. Step 3: Cross multiply
    1,089.10x = 1,631.44 × 870.09
  4. Step 4: Simplify right side
    1,089.10x = 1,419,503.78
  5. Step 5: Solve for x
    x = 1,419,503.78/1,089.10
  6. Step 6: Final answer
    x = 1,303.38

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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.