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Finding the Fourth Proportional to 1,295.38, 1,942.86 and 417.85

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Solution

The fourth proportional to 1,295.38, 1,942.86 and 417.85 is: 626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.38 : 1,942.86 = 417.85 : x
  2. Step 2: Convert to fraction form
    1,295.38/1,942.86 = 417.85/x
  3. Step 3: Cross multiply
    1,295.38x = 1,942.86 × 417.85
  4. Step 4: Simplify right side
    1,295.38x = 811,819.19
  5. Step 5: Solve for x
    x = 811,819.19/1,295.38
  6. Step 6: Final answer
    x = 626.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.