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Finding the Fourth Proportional to 764.76, 1,142.16 and 610.92

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Solution

The fourth proportional to 764.76, 1,142.16 and 610.92 is: 912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,142.16 = 610.92 : x
  2. Step 2: Convert to fraction form
    764.76/1,142.16 = 610.92/x
  3. Step 3: Cross multiply
    764.76x = 1,142.16 × 610.92
  4. Step 4: Simplify right side
    764.76x = 697,768.39
  5. Step 5: Solve for x
    x = 697,768.39/764.76
  6. Step 6: Final answer
    x = 912.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.