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Finding the Fourth Proportional to 864.94, 1,193.57 and 491.94

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Solution

The fourth proportional to 864.94, 1,193.57 and 491.94 is: 678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.94 : 1,193.57 = 491.94 : x
  2. Step 2: Convert to fraction form
    864.94/1,193.57 = 491.94/x
  3. Step 3: Cross multiply
    864.94x = 1,193.57 × 491.94
  4. Step 4: Simplify right side
    864.94x = 587,164.83
  5. Step 5: Solve for x
    x = 587,164.83/864.94
  6. Step 6: Final answer
    x = 678.85

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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.