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Finding the Fourth Proportional to 864.30, 1,192.47 and 491.27

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Solution

The fourth proportional to 864.30, 1,192.47 and 491.27 is: 677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.30 : 1,192.47 = 491.27 : x
  2. Step 2: Convert to fraction form
    864.30/1,192.47 = 491.27/x
  3. Step 3: Cross multiply
    864.30x = 1,192.47 × 491.27
  4. Step 4: Simplify right side
    864.30x = 585,818.77
  5. Step 5: Solve for x
    x = 585,818.77/864.30
  6. Step 6: Final answer
    x = 677.80

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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.