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Finding the Fourth Proportional to 1,305.76, 1,956.86 and 719.88

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Solution

The fourth proportional to 1,305.76, 1,956.86 and 719.88 is: 1,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.76 : 1,956.86 = 719.88 : x
  2. Step 2: Convert to fraction form
    1,305.76/1,956.86 = 719.88/x
  3. Step 3: Cross multiply
    1,305.76x = 1,956.86 × 719.88
  4. Step 4: Simplify right side
    1,305.76x = 1,408,702.13
  5. Step 5: Solve for x
    x = 1,408,702.13/1,305.76
  6. Step 6: Final answer
    x = 1,078.84

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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.