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Finding the Fourth Proportional to 850.50, 1,173.06 and 514.17

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Solution

The fourth proportional to 850.50, 1,173.06 and 514.17 is: 709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 1,173.06 = 514.17 : x
  2. Step 2: Convert to fraction form
    850.50/1,173.06 = 514.17/x
  3. Step 3: Cross multiply
    850.50x = 1,173.06 × 514.17
  4. Step 4: Simplify right side
    850.50x = 603,152.26
  5. Step 5: Solve for x
    x = 603,152.26/850.50
  6. Step 6: Final answer
    x = 709.17

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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.