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Finding the Fourth Proportional to 1,346.97, 2,019.89 and 524.78

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Solution

The fourth proportional to 1,346.97, 2,019.89 and 524.78 is: 786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.97 : 2,019.89 = 524.78 : x
  2. Step 2: Convert to fraction form
    1,346.97/2,019.89 = 524.78/x
  3. Step 3: Cross multiply
    1,346.97x = 2,019.89 × 524.78
  4. Step 4: Simplify right side
    1,346.97x = 1,059,997.87
  5. Step 5: Solve for x
    x = 1,059,997.87/1,346.97
  6. Step 6: Final answer
    x = 786.95

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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.