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Finding the Fourth Proportional to 1,329.73, 1,992.96 and 782.32

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Solution

The fourth proportional to 1,329.73, 1,992.96 and 782.32 is: 1,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.73 : 1,992.96 = 782.32 : x
  2. Step 2: Convert to fraction form
    1,329.73/1,992.96 = 782.32/x
  3. Step 3: Cross multiply
    1,329.73x = 1,992.96 × 782.32
  4. Step 4: Simplify right side
    1,329.73x = 1,559,132.47
  5. Step 5: Solve for x
    x = 1,559,132.47/1,329.73
  6. Step 6: Final answer
    x = 1,172.52

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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.