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Finding the Fourth Proportional to 864.46, 1,192.97 and 471.50

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Solution

The fourth proportional to 864.46, 1,192.97 and 471.50 is: 650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.46 : 1,192.97 = 471.50 : x
  2. Step 2: Convert to fraction form
    864.46/1,192.97 = 471.50/x
  3. Step 3: Cross multiply
    864.46x = 1,192.97 × 471.50
  4. Step 4: Simplify right side
    864.46x = 562,486.53
  5. Step 5: Solve for x
    x = 562,486.53/864.46
  6. Step 6: Final answer
    x = 650.68

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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.