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Finding the Fourth Proportional to 764.94, 1,146.29 and 678.45

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Solution

The fourth proportional to 764.94, 1,146.29 and 678.45 is: 1,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.94 : 1,146.29 = 678.45 : x
  2. Step 2: Convert to fraction form
    764.94/1,146.29 = 678.45/x
  3. Step 3: Cross multiply
    764.94x = 1,146.29 × 678.45
  4. Step 4: Simplify right side
    764.94x = 777,697.06
  5. Step 5: Solve for x
    x = 777,697.06/764.94
  6. Step 6: Final answer
    x = 1,016.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.