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Finding the Fourth Proportional to 842.07, 1,262.01 and 430.86

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Solution

The fourth proportional to 842.07, 1,262.01 and 430.86 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.07 : 1,262.01 = 430.86 : x
  2. Step 2: Convert to fraction form
    842.07/1,262.01 = 430.86/x
  3. Step 3: Cross multiply
    842.07x = 1,262.01 × 430.86
  4. Step 4: Simplify right side
    842.07x = 543,749.63
  5. Step 5: Solve for x
    x = 543,749.63/842.07
  6. Step 6: Final answer
    x = 645.73

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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.