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Finding the Fourth Proportional to 1,335.72, 2,002.46 and 719.08

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Solution

The fourth proportional to 1,335.72, 2,002.46 and 719.08 is: 1,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.72 : 2,002.46 = 719.08 : x
  2. Step 2: Convert to fraction form
    1,335.72/2,002.46 = 719.08/x
  3. Step 3: Cross multiply
    1,335.72x = 2,002.46 × 719.08
  4. Step 4: Simplify right side
    1,335.72x = 1,439,928.94
  5. Step 5: Solve for x
    x = 1,439,928.94/1,335.72
  6. Step 6: Final answer
    x = 1,078.02

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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.