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Finding the Fourth Proportional to 842.17, 1,162.20 and 469.17

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Solution

The fourth proportional to 842.17, 1,162.20 and 469.17 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.17 : 1,162.20 = 469.17 : x
  2. Step 2: Convert to fraction form
    842.17/1,162.20 = 469.17/x
  3. Step 3: Cross multiply
    842.17x = 1,162.20 × 469.17
  4. Step 4: Simplify right side
    842.17x = 545,269.37
  5. Step 5: Solve for x
    x = 545,269.37/842.17
  6. Step 6: Final answer
    x = 647.46

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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.