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Finding the Fourth Proportional to 752.19, 1,040.04 and 659.94

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Solution

The fourth proportional to 752.19, 1,040.04 and 659.94 is: 912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.19 : 1,040.04 = 659.94 : x
  2. Step 2: Convert to fraction form
    752.19/1,040.04 = 659.94/x
  3. Step 3: Cross multiply
    752.19x = 1,040.04 × 659.94
  4. Step 4: Simplify right side
    752.19x = 686,364.00
  5. Step 5: Solve for x
    x = 686,364.00/752.19
  6. Step 6: Final answer
    x = 912.49

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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.