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Finding the Fourth Proportional to 752.93, 1,038.25 and 517.23

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Solution

The fourth proportional to 752.93, 1,038.25 and 517.23 is: 713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.93 : 1,038.25 = 517.23 : x
  2. Step 2: Convert to fraction form
    752.93/1,038.25 = 517.23/x
  3. Step 3: Cross multiply
    752.93x = 1,038.25 × 517.23
  4. Step 4: Simplify right side
    752.93x = 537,014.05
  5. Step 5: Solve for x
    x = 537,014.05/752.93
  6. Step 6: Final answer
    x = 713.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.