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Finding the Fourth Proportional to 1,104.50, 1,524.28 and 773.04

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Solution

The fourth proportional to 1,104.50, 1,524.28 and 773.04 is: 1,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.50 : 1,524.28 = 773.04 : x
  2. Step 2: Convert to fraction form
    1,104.50/1,524.28 = 773.04/x
  3. Step 3: Cross multiply
    1,104.50x = 1,524.28 × 773.04
  4. Step 4: Simplify right side
    1,104.50x = 1,178,329.41
  5. Step 5: Solve for x
    x = 1,178,329.41/1,104.50
  6. Step 6: Final answer
    x = 1,066.84

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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.