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Finding the Fourth Proportional to 1,294.90, 1,942.08 and 417.48

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Solution

The fourth proportional to 1,294.90, 1,942.08 and 417.48 is: 626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.90 : 1,942.08 = 417.48 : x
  2. Step 2: Convert to fraction form
    1,294.90/1,942.08 = 417.48/x
  3. Step 3: Cross multiply
    1,294.90x = 1,942.08 × 417.48
  4. Step 4: Simplify right side
    1,294.90x = 810,770.71
  5. Step 5: Solve for x
    x = 810,770.71/1,294.90
  6. Step 6: Final answer
    x = 626.13

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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.