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Finding the Fourth Proportional to 864.23, 1,192.60 and 471.25

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Solution

The fourth proportional to 864.23, 1,192.60 and 471.25 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.23 : 1,192.60 = 471.25 : x
  2. Step 2: Convert to fraction form
    864.23/1,192.60 = 471.25/x
  3. Step 3: Cross multiply
    864.23x = 1,192.60 × 471.25
  4. Step 4: Simplify right side
    864.23x = 562,010.39
  5. Step 5: Solve for x
    x = 562,010.39/864.23
  6. Step 6: Final answer
    x = 650.31

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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.