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Finding the Fourth Proportional to 1,368.89, 2,052.72 and 394.76

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Solution

The fourth proportional to 1,368.89, 2,052.72 and 394.76 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.89 : 2,052.72 = 394.76 : x
  2. Step 2: Convert to fraction form
    1,368.89/2,052.72 = 394.76/x
  3. Step 3: Cross multiply
    1,368.89x = 2,052.72 × 394.76
  4. Step 4: Simplify right side
    1,368.89x = 810,331.75
  5. Step 5: Solve for x
    x = 810,331.75/1,368.89
  6. Step 6: Final answer
    x = 591.96

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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.