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Finding the Fourth Proportional to 1,232.14, 1,702.51 and 985.49

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Solution

The fourth proportional to 1,232.14, 1,702.51 and 985.49 is: 1,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.14 : 1,702.51 = 985.49 : x
  2. Step 2: Convert to fraction form
    1,232.14/1,702.51 = 985.49/x
  3. Step 3: Cross multiply
    1,232.14x = 1,702.51 × 985.49
  4. Step 4: Simplify right side
    1,232.14x = 1,677,806.58
  5. Step 5: Solve for x
    x = 1,677,806.58/1,232.14
  6. Step 6: Final answer
    x = 1,361.70

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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.