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Finding the Fourth Proportional to 1,292.03, 1,938.78 and 773.30

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Solution

The fourth proportional to 1,292.03, 1,938.78 and 773.30 is: 1,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.03 : 1,938.78 = 773.30 : x
  2. Step 2: Convert to fraction form
    1,292.03/1,938.78 = 773.30/x
  3. Step 3: Cross multiply
    1,292.03x = 1,938.78 × 773.30
  4. Step 4: Simplify right side
    1,292.03x = 1,499,248.88
  5. Step 5: Solve for x
    x = 1,499,248.88/1,292.03
  6. Step 6: Final answer
    x = 1,160.39

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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.