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Finding the Fourth Proportional to 1,357.89, 2,036.43 and 492

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Solution

The fourth proportional to 1,357.89, 2,036.43 and 492 is: 737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.89 : 2,036.43 = 492 : x
  2. Step 2: Convert to fraction form
    1,357.89/2,036.43 = 492/x
  3. Step 3: Cross multiply
    1,357.89x = 2,036.43 × 492
  4. Step 4: Simplify right side
    1,357.89x = 1,001,923.56
  5. Step 5: Solve for x
    x = 1,001,923.56/1,357.89
  6. Step 6: Final answer
    x = 737.85

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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.