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Finding the Fourth Proportional to 1,365.09, 2,048.31 and 633.80

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Solution

The fourth proportional to 1,365.09, 2,048.31 and 633.80 is: 951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.09 : 2,048.31 = 633.80 : x
  2. Step 2: Convert to fraction form
    1,365.09/2,048.31 = 633.80/x
  3. Step 3: Cross multiply
    1,365.09x = 2,048.31 × 633.80
  4. Step 4: Simplify right side
    1,365.09x = 1,298,208.64
  5. Step 5: Solve for x
    x = 1,298,208.64/1,365.09
  6. Step 6: Final answer
    x = 951.01

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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.