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Finding the Fourth Proportional to 1,164.28, 1,749.12 and 754.24

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Solution

The fourth proportional to 1,164.28, 1,749.12 and 754.24 is: 1,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.28 : 1,749.12 = 754.24 : x
  2. Step 2: Convert to fraction form
    1,164.28/1,749.12 = 754.24/x
  3. Step 3: Cross multiply
    1,164.28x = 1,749.12 × 754.24
  4. Step 4: Simplify right side
    1,164.28x = 1,319,256.27
  5. Step 5: Solve for x
    x = 1,319,256.27/1,164.28
  6. Step 6: Final answer
    x = 1,133.11

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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.