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Finding the Fourth Proportional to 1,464.31, 2,193.56 and 769.93

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Solution

The fourth proportional to 1,464.31, 2,193.56 and 769.93 is: 1,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.31 : 2,193.56 = 769.93 : x
  2. Step 2: Convert to fraction form
    1,464.31/2,193.56 = 769.93/x
  3. Step 3: Cross multiply
    1,464.31x = 2,193.56 × 769.93
  4. Step 4: Simplify right side
    1,464.31x = 1,688,887.65
  5. Step 5: Solve for x
    x = 1,688,887.65/1,464.31
  6. Step 6: Final answer
    x = 1,153.37

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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.