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Finding the Fourth Proportional to 1,162.54, 1,743.72 and 431.80

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Solution

The fourth proportional to 1,162.54, 1,743.72 and 431.80 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.54 : 1,743.72 = 431.80 : x
  2. Step 2: Convert to fraction form
    1,162.54/1,743.72 = 431.80/x
  3. Step 3: Cross multiply
    1,162.54x = 1,743.72 × 431.80
  4. Step 4: Simplify right side
    1,162.54x = 752,938.30
  5. Step 5: Solve for x
    x = 752,938.30/1,162.54
  6. Step 6: Final answer
    x = 647.67

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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.