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Finding the Fourth Proportional to 768.04, 1,059.56 and 473.20

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Solution

The fourth proportional to 768.04, 1,059.56 and 473.20 is: 652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.04 : 1,059.56 = 473.20 : x
  2. Step 2: Convert to fraction form
    768.04/1,059.56 = 473.20/x
  3. Step 3: Cross multiply
    768.04x = 1,059.56 × 473.20
  4. Step 4: Simplify right side
    768.04x = 501,383.79
  5. Step 5: Solve for x
    x = 501,383.79/768.04
  6. Step 6: Final answer
    x = 652.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.