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Finding the Fourth Proportional to 1,301.11, 1,951.94 and 436.03

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Solution

The fourth proportional to 1,301.11, 1,951.94 and 436.03 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.11 : 1,951.94 = 436.03 : x
  2. Step 2: Convert to fraction form
    1,301.11/1,951.94 = 436.03/x
  3. Step 3: Cross multiply
    1,301.11x = 1,951.94 × 436.03
  4. Step 4: Simplify right side
    1,301.11x = 851,102.22
  5. Step 5: Solve for x
    x = 851,102.22/1,301.11
  6. Step 6: Final answer
    x = 654.14

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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.