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Finding the Fourth Proportional to 729.40, 1,092.64 and 556.24

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Solution

The fourth proportional to 729.40, 1,092.64 and 556.24 is: 833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.40 : 1,092.64 = 556.24 : x
  2. Step 2: Convert to fraction form
    729.40/1,092.64 = 556.24/x
  3. Step 3: Cross multiply
    729.40x = 1,092.64 × 556.24
  4. Step 4: Simplify right side
    729.40x = 607,770.07
  5. Step 5: Solve for x
    x = 607,770.07/729.40
  6. Step 6: Final answer
    x = 833.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.