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Finding the Fourth Proportional to 1,436.80, 1,982.88 and 914.08

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Solution

The fourth proportional to 1,436.80, 1,982.88 and 914.08 is: 1,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.80 : 1,982.88 = 914.08 : x
  2. Step 2: Convert to fraction form
    1,436.80/1,982.88 = 914.08/x
  3. Step 3: Cross multiply
    1,436.80x = 1,982.88 × 914.08
  4. Step 4: Simplify right side
    1,436.80x = 1,812,510.95
  5. Step 5: Solve for x
    x = 1,812,510.95/1,436.80
  6. Step 6: Final answer
    x = 1,261.49

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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.