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Finding the Fourth Proportional to 1,295.38, 1,943.27 and 429.89

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Solution

The fourth proportional to 1,295.38, 1,943.27 and 429.89 is: 644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.38 : 1,943.27 = 429.89 : x
  2. Step 2: Convert to fraction form
    1,295.38/1,943.27 = 429.89/x
  3. Step 3: Cross multiply
    1,295.38x = 1,943.27 × 429.89
  4. Step 4: Simplify right side
    1,295.38x = 835,392.34
  5. Step 5: Solve for x
    x = 835,392.34/1,295.38
  6. Step 6: Final answer
    x = 644.90

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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.