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Finding the Fourth Proportional to 864.43, 1,192.91 and 471.47

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Solution

The fourth proportional to 864.43, 1,192.91 and 471.47 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.43 : 1,192.91 = 471.47 : x
  2. Step 2: Convert to fraction form
    864.43/1,192.91 = 471.47/x
  3. Step 3: Cross multiply
    864.43x = 1,192.91 × 471.47
  4. Step 4: Simplify right side
    864.43x = 562,412.96
  5. Step 5: Solve for x
    x = 562,412.96/864.43
  6. Step 6: Final answer
    x = 650.62

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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.