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Finding the Fourth Proportional to 1,429.53, 1,972.97 and 987.06

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Solution

The fourth proportional to 1,429.53, 1,972.97 and 987.06 is: 1,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.53 : 1,972.97 = 987.06 : x
  2. Step 2: Convert to fraction form
    1,429.53/1,972.97 = 987.06/x
  3. Step 3: Cross multiply
    1,429.53x = 1,972.97 × 987.06
  4. Step 4: Simplify right side
    1,429.53x = 1,947,439.77
  5. Step 5: Solve for x
    x = 1,947,439.77/1,429.53
  6. Step 6: Final answer
    x = 1,362.29

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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.