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Finding the Fourth Proportional to 1,356.73, 2,032.46 and 769.95

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Solution

The fourth proportional to 1,356.73, 2,032.46 and 769.95 is: 1,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.73 : 2,032.46 = 769.95 : x
  2. Step 2: Convert to fraction form
    1,356.73/2,032.46 = 769.95/x
  3. Step 3: Cross multiply
    1,356.73x = 2,032.46 × 769.95
  4. Step 4: Simplify right side
    1,356.73x = 1,564,895.43
  5. Step 5: Solve for x
    x = 1,564,895.43/1,356.73
  6. Step 6: Final answer
    x = 1,153.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.