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Finding the Fourth Proportional to 1,365.11, 2,047.97 and 499.40

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Solution

The fourth proportional to 1,365.11, 2,047.97 and 499.40 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.11 : 2,047.97 = 499.40 : x
  2. Step 2: Convert to fraction form
    1,365.11/2,047.97 = 499.40/x
  3. Step 3: Cross multiply
    1,365.11x = 2,047.97 × 499.40
  4. Step 4: Simplify right side
    1,365.11x = 1,022,756.22
  5. Step 5: Solve for x
    x = 1,022,756.22/1,365.11
  6. Step 6: Final answer
    x = 749.21

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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.