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Finding the Fourth Proportional to 1,568.85, 2,353.58 and 788.22

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Solution

The fourth proportional to 1,568.85, 2,353.58 and 788.22 is: 1,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.85 : 2,353.58 = 788.22 : x
  2. Step 2: Convert to fraction form
    1,568.85/2,353.58 = 788.22/x
  3. Step 3: Cross multiply
    1,568.85x = 2,353.58 × 788.22
  4. Step 4: Simplify right side
    1,568.85x = 1,855,134.89
  5. Step 5: Solve for x
    x = 1,855,134.89/1,568.85
  6. Step 6: Final answer
    x = 1,182.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.