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Finding the Fourth Proportional to 768.14, 1,059.50 and 473.58

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Solution

The fourth proportional to 768.14, 1,059.50 and 473.58 is: 653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.14 : 1,059.50 = 473.58 : x
  2. Step 2: Convert to fraction form
    768.14/1,059.50 = 473.58/x
  3. Step 3: Cross multiply
    768.14x = 1,059.50 × 473.58
  4. Step 4: Simplify right side
    768.14x = 501,755.64
  5. Step 5: Solve for x
    x = 501,755.64/768.14
  6. Step 6: Final answer
    x = 653.21

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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.