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Finding the Fourth Proportional to 864.42, 1,193.52 and 549.84

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Solution

The fourth proportional to 864.42, 1,193.52 and 549.84 is: 759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,193.52 = 549.84 : x
  2. Step 2: Convert to fraction form
    864.42/1,193.52 = 549.84/x
  3. Step 3: Cross multiply
    864.42x = 1,193.52 × 549.84
  4. Step 4: Simplify right side
    864.42x = 656,245.04
  5. Step 5: Solve for x
    x = 656,245.04/864.42
  6. Step 6: Final answer
    x = 759.17

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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.