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Finding the Fourth Proportional to 842.56, 1,162.64 and 469.46

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Solution

The fourth proportional to 842.56, 1,162.64 and 469.46 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.56 : 1,162.64 = 469.46 : x
  2. Step 2: Convert to fraction form
    842.56/1,162.64 = 469.46/x
  3. Step 3: Cross multiply
    842.56x = 1,162.64 × 469.46
  4. Step 4: Simplify right side
    842.56x = 545,812.97
  5. Step 5: Solve for x
    x = 545,812.97/842.56
  6. Step 6: Final answer
    x = 647.80

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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.