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Finding the Fourth Proportional to 850.69, 1,173.36 and 556.30

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Solution

The fourth proportional to 850.69, 1,173.36 and 556.30 is: 767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.69 : 1,173.36 = 556.30 : x
  2. Step 2: Convert to fraction form
    850.69/1,173.36 = 556.30/x
  3. Step 3: Cross multiply
    850.69x = 1,173.36 × 556.30
  4. Step 4: Simplify right side
    850.69x = 652,740.17
  5. Step 5: Solve for x
    x = 652,740.17/850.69
  6. Step 6: Final answer
    x = 767.31

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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.