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Finding the Fourth Proportional to 752.16, 1,133.64 and 711.84

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Solution

The fourth proportional to 752.16, 1,133.64 and 711.84 is: 1,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.16 : 1,133.64 = 711.84 : x
  2. Step 2: Convert to fraction form
    752.16/1,133.64 = 711.84/x
  3. Step 3: Cross multiply
    752.16x = 1,133.64 × 711.84
  4. Step 4: Simplify right side
    752.16x = 806,970.30
  5. Step 5: Solve for x
    x = 806,970.30/752.16
  6. Step 6: Final answer
    x = 1,072.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.