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Finding the Fourth Proportional to 1,167.20, 1,749.36 and 703.52

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Solution

The fourth proportional to 1,167.20, 1,749.36 and 703.52 is: 1,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.20 : 1,749.36 = 703.52 : x
  2. Step 2: Convert to fraction form
    1,167.20/1,749.36 = 703.52/x
  3. Step 3: Cross multiply
    1,167.20x = 1,749.36 × 703.52
  4. Step 4: Simplify right side
    1,167.20x = 1,230,709.75
  5. Step 5: Solve for x
    x = 1,230,709.75/1,167.20
  6. Step 6: Final answer
    x = 1,054.41

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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.