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Finding the Fourth Proportional to 1,551.05, 2,324.37 and 770.29

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Solution

The fourth proportional to 1,551.05, 2,324.37 and 770.29 is: 1,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.05 : 2,324.37 = 770.29 : x
  2. Step 2: Convert to fraction form
    1,551.05/2,324.37 = 770.29/x
  3. Step 3: Cross multiply
    1,551.05x = 2,324.37 × 770.29
  4. Step 4: Simplify right side
    1,551.05x = 1,790,444.76
  5. Step 5: Solve for x
    x = 1,790,444.76/1,551.05
  6. Step 6: Final answer
    x = 1,154.34

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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.