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Finding the Fourth Proportional to 1,165.92, 1,749.78 and 436.02

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Solution

The fourth proportional to 1,165.92, 1,749.78 and 436.02 is: 654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.92 : 1,749.78 = 436.02 : x
  2. Step 2: Convert to fraction form
    1,165.92/1,749.78 = 436.02/x
  3. Step 3: Cross multiply
    1,165.92x = 1,749.78 × 436.02
  4. Step 4: Simplify right side
    1,165.92x = 762,939.08
  5. Step 5: Solve for x
    x = 762,939.08/1,165.92
  6. Step 6: Final answer
    x = 654.37

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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.