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Finding the Fourth Proportional to 1,294.36, 1,941.86 and 428.76

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Solution

The fourth proportional to 1,294.36, 1,941.86 and 428.76 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.36 : 1,941.86 = 428.76 : x
  2. Step 2: Convert to fraction form
    1,294.36/1,941.86 = 428.76/x
  3. Step 3: Cross multiply
    1,294.36x = 1,941.86 × 428.76
  4. Step 4: Simplify right side
    1,294.36x = 832,591.89
  5. Step 5: Solve for x
    x = 832,591.89/1,294.36
  6. Step 6: Final answer
    x = 643.25

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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.