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Finding the Fourth Proportional to 1,089.50, 1,503.72 and 856.22

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Solution

The fourth proportional to 1,089.50, 1,503.72 and 856.22 is: 1,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.50 : 1,503.72 = 856.22 : x
  2. Step 2: Convert to fraction form
    1,089.50/1,503.72 = 856.22/x
  3. Step 3: Cross multiply
    1,089.50x = 1,503.72 × 856.22
  4. Step 4: Simplify right side
    1,089.50x = 1,287,507.62
  5. Step 5: Solve for x
    x = 1,287,507.62/1,089.50
  6. Step 6: Final answer
    x = 1,181.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.