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Finding the Fourth Proportional to 1,568.41, 2,353.72 and 644.81

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Solution

The fourth proportional to 1,568.41, 2,353.72 and 644.81 is: 967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.41 : 2,353.72 = 644.81 : x
  2. Step 2: Convert to fraction form
    1,568.41/2,353.72 = 644.81/x
  3. Step 3: Cross multiply
    1,568.41x = 2,353.72 × 644.81
  4. Step 4: Simplify right side
    1,568.41x = 1,517,690.42
  5. Step 5: Solve for x
    x = 1,517,690.42/1,568.41
  6. Step 6: Final answer
    x = 967.66

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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.