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Finding the Fourth Proportional to 1,435.34, 1,976.60 and 992.48

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Solution

The fourth proportional to 1,435.34, 1,976.60 and 992.48 is: 1,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.34 : 1,976.60 = 992.48 : x
  2. Step 2: Convert to fraction form
    1,435.34/1,976.60 = 992.48/x
  3. Step 3: Cross multiply
    1,435.34x = 1,976.60 × 992.48
  4. Step 4: Simplify right side
    1,435.34x = 1,961,728.57
  5. Step 5: Solve for x
    x = 1,961,728.57/1,435.34
  6. Step 6: Final answer
    x = 1,366.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.