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Finding the Fourth Proportional to 1,382.02, 1,905.23 and 988.36

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Solution

The fourth proportional to 1,382.02, 1,905.23 and 988.36 is: 1,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.02 : 1,905.23 = 988.36 : x
  2. Step 2: Convert to fraction form
    1,382.02/1,905.23 = 988.36/x
  3. Step 3: Cross multiply
    1,382.02x = 1,905.23 × 988.36
  4. Step 4: Simplify right side
    1,382.02x = 1,883,043.60
  5. Step 5: Solve for x
    x = 1,883,043.60/1,382.02
  6. Step 6: Final answer
    x = 1,362.53

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Why These Related Problems?

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