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Finding the Fourth Proportional to 864.42, 1,192.46 and 584.28

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Solution

The fourth proportional to 864.42, 1,192.46 and 584.28 is: 806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,192.46 = 584.28 : x
  2. Step 2: Convert to fraction form
    864.42/1,192.46 = 584.28/x
  3. Step 3: Cross multiply
    864.42x = 1,192.46 × 584.28
  4. Step 4: Simplify right side
    864.42x = 696,727.61
  5. Step 5: Solve for x
    x = 696,727.61/864.42
  6. Step 6: Final answer
    x = 806.01

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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.