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Finding the Fourth Proportional to 768.89, 1,061.09 and 473.94

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Solution

The fourth proportional to 768.89, 1,061.09 and 473.94 is: 654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.89 : 1,061.09 = 473.94 : x
  2. Step 2: Convert to fraction form
    768.89/1,061.09 = 473.94/x
  3. Step 3: Cross multiply
    768.89x = 1,061.09 × 473.94
  4. Step 4: Simplify right side
    768.89x = 502,892.99
  5. Step 5: Solve for x
    x = 502,892.99/768.89
  6. Step 6: Final answer
    x = 654.05

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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.