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Finding the Fourth Proportional to 653.26, 902.66 and 514.44

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Solution

The fourth proportional to 653.26, 902.66 and 514.44 is: 710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.26 : 902.66 = 514.44 : x
  2. Step 2: Convert to fraction form
    653.26/902.66 = 514.44/x
  3. Step 3: Cross multiply
    653.26x = 902.66 × 514.44
  4. Step 4: Simplify right side
    653.26x = 464,365.70
  5. Step 5: Solve for x
    x = 464,365.70/653.26
  6. Step 6: Final answer
    x = 710.85

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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.