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Finding the Fourth Proportional to 864.65, 1,193.20 and 471.66

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Solution

The fourth proportional to 864.65, 1,193.20 and 471.66 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.65 : 1,193.20 = 471.66 : x
  2. Step 2: Convert to fraction form
    864.65/1,193.20 = 471.66/x
  3. Step 3: Cross multiply
    864.65x = 1,193.20 × 471.66
  4. Step 4: Simplify right side
    864.65x = 562,783.53
  5. Step 5: Solve for x
    x = 562,783.53/864.65
  6. Step 6: Final answer
    x = 650.88

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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.