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Finding the Fourth Proportional to 850.53, 1,173.70 and 477.50

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Solution

The fourth proportional to 850.53, 1,173.70 and 477.50 is: 658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.53 : 1,173.70 = 477.50 : x
  2. Step 2: Convert to fraction form
    850.53/1,173.70 = 477.50/x
  3. Step 3: Cross multiply
    850.53x = 1,173.70 × 477.50
  4. Step 4: Simplify right side
    850.53x = 560,441.75
  5. Step 5: Solve for x
    x = 560,441.75/850.53
  6. Step 6: Final answer
    x = 658.93

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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.