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Finding the Fourth Proportional to 842.23, 1,162.29 and 469.23

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Solution

The fourth proportional to 842.23, 1,162.29 and 469.23 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,162.29 = 469.23 : x
  2. Step 2: Convert to fraction form
    842.23/1,162.29 = 469.23/x
  3. Step 3: Cross multiply
    842.23x = 1,162.29 × 469.23
  4. Step 4: Simplify right side
    842.23x = 545,381.34
  5. Step 5: Solve for x
    x = 545,381.34/842.23
  6. Step 6: Final answer
    x = 647.54

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