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Finding the Fourth Proportional to 1,295.62, 1,942.43 and 429.46

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Solution

The fourth proportional to 1,295.62, 1,942.43 and 429.46 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.62 : 1,942.43 = 429.46 : x
  2. Step 2: Convert to fraction form
    1,295.62/1,942.43 = 429.46/x
  3. Step 3: Cross multiply
    1,295.62x = 1,942.43 × 429.46
  4. Step 4: Simplify right side
    1,295.62x = 834,195.99
  5. Step 5: Solve for x
    x = 834,195.99/1,295.62
  6. Step 6: Final answer
    x = 643.86

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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.