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Finding the Fourth Proportional to 1,568.79, 2,352.91 and 735.94

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Solution

The fourth proportional to 1,568.79, 2,352.91 and 735.94 is: 1,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.79 : 2,352.91 = 735.94 : x
  2. Step 2: Convert to fraction form
    1,568.79/2,352.91 = 735.94/x
  3. Step 3: Cross multiply
    1,568.79x = 2,352.91 × 735.94
  4. Step 4: Simplify right side
    1,568.79x = 1,731,600.59
  5. Step 5: Solve for x
    x = 1,731,600.59/1,568.79
  6. Step 6: Final answer
    x = 1,103.78

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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.