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Finding the Fourth Proportional to 850.10, 1,173.08 and 477.08

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Solution

The fourth proportional to 850.10, 1,173.08 and 477.08 is: 658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.10 : 1,173.08 = 477.08 : x
  2. Step 2: Convert to fraction form
    850.10/1,173.08 = 477.08/x
  3. Step 3: Cross multiply
    850.10x = 1,173.08 × 477.08
  4. Step 4: Simplify right side
    850.10x = 559,653.01
  5. Step 5: Solve for x
    x = 559,653.01/850.10
  6. Step 6: Final answer
    x = 658.34

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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.