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Finding the Fourth Proportional to 1,436.49, 1,982.57 and 877.28

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Solution

The fourth proportional to 1,436.49, 1,982.57 and 877.28 is: 1,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.49 : 1,982.57 = 877.28 : x
  2. Step 2: Convert to fraction form
    1,436.49/1,982.57 = 877.28/x
  3. Step 3: Cross multiply
    1,436.49x = 1,982.57 × 877.28
  4. Step 4: Simplify right side
    1,436.49x = 1,739,270.80
  5. Step 5: Solve for x
    x = 1,739,270.80/1,436.49
  6. Step 6: Final answer
    x = 1,210.78

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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.