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Finding the Fourth Proportional to 864.42, 1,192.91 and 471.45

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Solution

The fourth proportional to 864.42, 1,192.91 and 471.45 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,192.91 = 471.45 : x
  2. Step 2: Convert to fraction form
    864.42/1,192.91 = 471.45/x
  3. Step 3: Cross multiply
    864.42x = 1,192.91 × 471.45
  4. Step 4: Simplify right side
    864.42x = 562,402.19
  5. Step 5: Solve for x
    x = 562,402.19/864.42
  6. Step 6: Final answer
    x = 650.61

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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.