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Finding the Fourth Proportional to 1,166.31, 1,749.03 and 472.80

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Solution

The fourth proportional to 1,166.31, 1,749.03 and 472.80 is: 709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.31 : 1,749.03 = 472.80 : x
  2. Step 2: Convert to fraction form
    1,166.31/1,749.03 = 472.80/x
  3. Step 3: Cross multiply
    1,166.31x = 1,749.03 × 472.80
  4. Step 4: Simplify right side
    1,166.31x = 826,941.38
  5. Step 5: Solve for x
    x = 826,941.38/1,166.31
  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.