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Finding the Fourth Proportional to 864.29, 1,192.71 and 471.31

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Solution

The fourth proportional to 864.29, 1,192.71 and 471.31 is: 650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.29 : 1,192.71 = 471.31 : x
  2. Step 2: Convert to fraction form
    864.29/1,192.71 = 471.31/x
  3. Step 3: Cross multiply
    864.29x = 1,192.71 × 471.31
  4. Step 4: Simplify right side
    864.29x = 562,136.15
  5. Step 5: Solve for x
    x = 562,136.15/864.29
  6. Step 6: Final answer
    x = 650.40

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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.