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Finding the Fourth Proportional to 1,295.18, 1,942.80 and 370.82

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Solution

The fourth proportional to 1,295.18, 1,942.80 and 370.82 is: 556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.18 : 1,942.80 = 370.82 : x
  2. Step 2: Convert to fraction form
    1,295.18/1,942.80 = 370.82/x
  3. Step 3: Cross multiply
    1,295.18x = 1,942.80 × 370.82
  4. Step 4: Simplify right side
    1,295.18x = 720,429.10
  5. Step 5: Solve for x
    x = 720,429.10/1,295.18
  6. Step 6: Final answer
    x = 556.24

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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.