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Finding the Fourth Proportional to 1,424.69, 2,132.49 and 764.93

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Solution

The fourth proportional to 1,424.69, 2,132.49 and 764.93 is: 1,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.69 : 2,132.49 = 764.93 : x
  2. Step 2: Convert to fraction form
    1,424.69/2,132.49 = 764.93/x
  3. Step 3: Cross multiply
    1,424.69x = 2,132.49 × 764.93
  4. Step 4: Simplify right side
    1,424.69x = 1,631,205.58
  5. Step 5: Solve for x
    x = 1,631,205.58/1,424.69
  6. Step 6: Final answer
    x = 1,144.95

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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.