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Finding the Fourth Proportional to 1,295.11, 1,942.67 and 430.03

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Solution

The fourth proportional to 1,295.11, 1,942.67 and 430.03 is: 645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.11 : 1,942.67 = 430.03 : x
  2. Step 2: Convert to fraction form
    1,295.11/1,942.67 = 430.03/x
  3. Step 3: Cross multiply
    1,295.11x = 1,942.67 × 430.03
  4. Step 4: Simplify right side
    1,295.11x = 835,406.38
  5. Step 5: Solve for x
    x = 835,406.38/1,295.11
  6. Step 6: Final answer
    x = 645.05

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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.