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Finding the Fourth Proportional to 1,294.69, 1,942.16 and 417.21

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Solution

The fourth proportional to 1,294.69, 1,942.16 and 417.21 is: 625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.69 : 1,942.16 = 417.21 : x
  2. Step 2: Convert to fraction form
    1,294.69/1,942.16 = 417.21/x
  3. Step 3: Cross multiply
    1,294.69x = 1,942.16 × 417.21
  4. Step 4: Simplify right side
    1,294.69x = 810,276.78
  5. Step 5: Solve for x
    x = 810,276.78/1,294.69
  6. Step 6: Final answer
    x = 625.85

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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.