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Finding the Fourth Proportional to 1,365.25, 2,047.66 and 499.57

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Solution

The fourth proportional to 1,365.25, 2,047.66 and 499.57 is: 749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.25 : 2,047.66 = 499.57 : x
  2. Step 2: Convert to fraction form
    1,365.25/2,047.66 = 499.57/x
  3. Step 3: Cross multiply
    1,365.25x = 2,047.66 × 499.57
  4. Step 4: Simplify right side
    1,365.25x = 1,022,949.51
  5. Step 5: Solve for x
    x = 1,022,949.51/1,365.25
  6. Step 6: Final answer
    x = 749.28

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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.