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Finding the Fourth Proportional to 1,568.88, 2,354.08 and 594.96

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Solution

The fourth proportional to 1,568.88, 2,354.08 and 594.96 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.88 : 2,354.08 = 594.96 : x
  2. Step 2: Convert to fraction form
    1,568.88/2,354.08 = 594.96/x
  3. Step 3: Cross multiply
    1,568.88x = 2,354.08 × 594.96
  4. Step 4: Simplify right side
    1,568.88x = 1,400,583.44
  5. Step 5: Solve for x
    x = 1,400,583.44/1,568.88
  6. Step 6: Final answer
    x = 892.73

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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.