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Finding the Fourth Proportional to 1,166.03, 1,749.02 and 472.69

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Solution

The fourth proportional to 1,166.03, 1,749.02 and 472.69 is: 709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.03 : 1,749.02 = 472.69 : x
  2. Step 2: Convert to fraction form
    1,166.03/1,749.02 = 472.69/x
  3. Step 3: Cross multiply
    1,166.03x = 1,749.02 × 472.69
  4. Step 4: Simplify right side
    1,166.03x = 826,744.26
  5. Step 5: Solve for x
    x = 826,744.26/1,166.03
  6. Step 6: Final answer
    x = 709.02

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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.