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Finding the Fourth Proportional to 752.35, 1,038.81 and 685.93

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Solution

The fourth proportional to 752.35, 1,038.81 and 685.93 is: 947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.35 : 1,038.81 = 685.93 : x
  2. Step 2: Convert to fraction form
    752.35/1,038.81 = 685.93/x
  3. Step 3: Cross multiply
    752.35x = 1,038.81 × 685.93
  4. Step 4: Simplify right side
    752.35x = 712,550.94
  5. Step 5: Solve for x
    x = 712,550.94/752.35
  6. Step 6: Final answer
    x = 947.10

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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.