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Finding the Fourth Proportional to 1,304, 1,952.16 and 840.41

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Solution

The fourth proportional to 1,304, 1,952.16 and 840.41 is: 1,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304 : 1,952.16 = 840.41 : x
  2. Step 2: Convert to fraction form
    1,304/1,952.16 = 840.41/x
  3. Step 3: Cross multiply
    1,304x = 1,952.16 × 840.41
  4. Step 4: Simplify right side
    1,304x = 1,640,614.79
  5. Step 5: Solve for x
    x = 1,640,614.79/1,304
  6. Step 6: Final answer
    x = 1,258.14

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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.