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Finding the Fourth Proportional to 1,295.08, 1,942.92 and 417.66

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Solution

The fourth proportional to 1,295.08, 1,942.92 and 417.66 is: 626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.08 : 1,942.92 = 417.66 : x
  2. Step 2: Convert to fraction form
    1,295.08/1,942.92 = 417.66/x
  3. Step 3: Cross multiply
    1,295.08x = 1,942.92 × 417.66
  4. Step 4: Simplify right side
    1,295.08x = 811,477.88
  5. Step 5: Solve for x
    x = 811,477.88/1,295.08
  6. Step 6: Final answer
    x = 626.59

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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.