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Finding the Fourth Proportional to 864.04, 1,192.14 and 548.74

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Solution

The fourth proportional to 864.04, 1,192.14 and 548.74 is: 757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.04 : 1,192.14 = 548.74 : x
  2. Step 2: Convert to fraction form
    864.04/1,192.14 = 548.74/x
  3. Step 3: Cross multiply
    864.04x = 1,192.14 × 548.74
  4. Step 4: Simplify right side
    864.04x = 654,174.90
  5. Step 5: Solve for x
    x = 654,174.90/864.04
  6. Step 6: Final answer
    x = 757.11

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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.