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Finding the Fourth Proportional to 1,365.09, 2,047.73 and 499.17

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Solution

The fourth proportional to 1,365.09, 2,047.73 and 499.17 is: 748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.09 : 2,047.73 = 499.17 : x
  2. Step 2: Convert to fraction form
    1,365.09/2,047.73 = 499.17/x
  3. Step 3: Cross multiply
    1,365.09x = 2,047.73 × 499.17
  4. Step 4: Simplify right side
    1,365.09x = 1,022,162.89
  5. Step 5: Solve for x
    x = 1,022,162.89/1,365.09
  6. Step 6: Final answer
    x = 748.79

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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.