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Finding the Fourth Proportional to 1,292.82, 1,938.98 and 415.43

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Solution

The fourth proportional to 1,292.82, 1,938.98 and 415.43 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.82 : 1,938.98 = 415.43 : x
  2. Step 2: Convert to fraction form
    1,292.82/1,938.98 = 415.43/x
  3. Step 3: Cross multiply
    1,292.82x = 1,938.98 × 415.43
  4. Step 4: Simplify right side
    1,292.82x = 805,498.69
  5. Step 5: Solve for x
    x = 805,498.69/1,292.82
  6. Step 6: Final answer
    x = 623.06

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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.