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Finding the Fourth Proportional to 768.42, 1,061.78 and 670.01

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Solution

The fourth proportional to 768.42, 1,061.78 and 670.01 is: 925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.42 : 1,061.78 = 670.01 : x
  2. Step 2: Convert to fraction form
    768.42/1,061.78 = 670.01/x
  3. Step 3: Cross multiply
    768.42x = 1,061.78 × 670.01
  4. Step 4: Simplify right side
    768.42x = 711,394.56
  5. Step 5: Solve for x
    x = 711,394.56/768.42
  6. Step 6: Final answer
    x = 925.79

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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.