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Finding the Fourth Proportional to 1,304.53, 1,954.95 and 937.60

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Solution

The fourth proportional to 1,304.53, 1,954.95 and 937.60 is: 1,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.53 : 1,954.95 = 937.60 : x
  2. Step 2: Convert to fraction form
    1,304.53/1,954.95 = 937.60/x
  3. Step 3: Cross multiply
    1,304.53x = 1,954.95 × 937.60
  4. Step 4: Simplify right side
    1,304.53x = 1,832,961.12
  5. Step 5: Solve for x
    x = 1,832,961.12/1,304.53
  6. Step 6: Final answer
    x = 1,405.07

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Why These Related Problems?

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