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Finding the Fourth Proportional to 864.24, 1,192.62 and 505.31

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Solution

The fourth proportional to 864.24, 1,192.62 and 505.31 is: 697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.24 : 1,192.62 = 505.31 : x
  2. Step 2: Convert to fraction form
    864.24/1,192.62 = 505.31/x
  3. Step 3: Cross multiply
    864.24x = 1,192.62 × 505.31
  4. Step 4: Simplify right side
    864.24x = 602,636.85
  5. Step 5: Solve for x
    x = 602,636.85/864.24
  6. Step 6: Final answer
    x = 697.30

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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.