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Finding the Fourth Proportional to 1,304.45, 1,954.10 and 975.80

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Solution

The fourth proportional to 1,304.45, 1,954.10 and 975.80 is: 1,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.45 : 1,954.10 = 975.80 : x
  2. Step 2: Convert to fraction form
    1,304.45/1,954.10 = 975.80/x
  3. Step 3: Cross multiply
    1,304.45x = 1,954.10 × 975.80
  4. Step 4: Simplify right side
    1,304.45x = 1,906,804.37
  5. Step 5: Solve for x
    x = 1,906,804.37/1,304.45
  6. Step 6: Final answer
    x = 1,461.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.