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Finding the Fourth Proportional to 864.63, 1,193.22 and 491.60

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Solution

The fourth proportional to 864.63, 1,193.22 and 491.60 is: 678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.63 : 1,193.22 = 491.60 : x
  2. Step 2: Convert to fraction form
    864.63/1,193.22 = 491.60/x
  3. Step 3: Cross multiply
    864.63x = 1,193.22 × 491.60
  4. Step 4: Simplify right side
    864.63x = 586,586.95
  5. Step 5: Solve for x
    x = 586,586.95/864.63
  6. Step 6: Final answer
    x = 678.43

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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.