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Finding the Fourth Proportional to 768.26, 1,059.86 and 473.70

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Solution

The fourth proportional to 768.26, 1,059.86 and 473.70 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.26 : 1,059.86 = 473.70 : x
  2. Step 2: Convert to fraction form
    768.26/1,059.86 = 473.70/x
  3. Step 3: Cross multiply
    768.26x = 1,059.86 × 473.70
  4. Step 4: Simplify right side
    768.26x = 502,053.55
  5. Step 5: Solve for x
    x = 502,053.55/768.26
  6. Step 6: Final answer
    x = 653.49

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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.