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Finding the Fourth Proportional to 842.35, 1,162.47 and 469.37

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Solution

The fourth proportional to 842.35, 1,162.47 and 469.37 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.35 : 1,162.47 = 469.37 : x
  2. Step 2: Convert to fraction form
    842.35/1,162.47 = 469.37/x
  3. Step 3: Cross multiply
    842.35x = 1,162.47 × 469.37
  4. Step 4: Simplify right side
    842.35x = 545,628.54
  5. Step 5: Solve for x
    x = 545,628.54/842.35
  6. Step 6: Final answer
    x = 647.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.