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Finding the Fourth Proportional to 1,372.52, 2,056.84 and 786.32

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Solution

The fourth proportional to 1,372.52, 2,056.84 and 786.32 is: 1,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.52 : 2,056.84 = 786.32 : x
  2. Step 2: Convert to fraction form
    1,372.52/2,056.84 = 786.32/x
  3. Step 3: Cross multiply
    1,372.52x = 2,056.84 × 786.32
  4. Step 4: Simplify right side
    1,372.52x = 1,617,334.43
  5. Step 5: Solve for x
    x = 1,617,334.43/1,372.52
  6. Step 6: Final answer
    x = 1,178.37

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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.