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Finding the Fourth Proportional to 864.32, 1,192.67 and 505.43

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Solution

The fourth proportional to 864.32, 1,192.67 and 505.43 is: 697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,192.67 = 505.43 : x
  2. Step 2: Convert to fraction form
    864.32/1,192.67 = 505.43/x
  3. Step 3: Cross multiply
    864.32x = 1,192.67 × 505.43
  4. Step 4: Simplify right side
    864.32x = 602,811.20
  5. Step 5: Solve for x
    x = 602,811.20/864.32
  6. Step 6: Final answer
    x = 697.44

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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.